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	<id>https://vasp.at/wiki/index.php?action=history&amp;feed=atom&amp;title=LTRIPLET</id>
	<title>LTRIPLET - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://vasp.at/wiki/index.php?action=history&amp;feed=atom&amp;title=LTRIPLET"/>
	<link rel="alternate" type="text/html" href="https://vasp.at/wiki/index.php?title=LTRIPLET&amp;action=history"/>
	<updated>2026-04-13T13:17:14Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.40.1</generator>
	<entry>
		<id>https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=22325&amp;oldid=prev</id>
		<title>Ftran at 08:25, 20 October 2023</title>
		<link rel="alternate" type="text/html" href="https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=22325&amp;oldid=prev"/>
		<updated>2023-10-20T08:25:33Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 08:25, 20 October 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l29&quot;&gt;Line 29:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 29:&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[The_VASP_Manual|Contents]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:INCAR tag]][[Category:Many-body perturbation theory]][[Category:Bethe-Salpeter equations]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:INCAR tag]][[Category:Many-body perturbation theory]][[Category:Bethe-Salpeter equations]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>Ftran</name></author>
	</entry>
	<entry>
		<id>https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=15965&amp;oldid=prev</id>
		<title>Huebsch: Huebsch moved page Construction:LTRIPLET to LTRIPLET</title>
		<link rel="alternate" type="text/html" href="https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=15965&amp;oldid=prev"/>
		<updated>2022-04-07T12:21:12Z</updated>

		<summary type="html">&lt;p&gt;Huebsch moved page &lt;a href=&quot;/wiki/Construction:LTRIPLET&quot; class=&quot;mw-redirect&quot; title=&quot;Construction:LTRIPLET&quot;&gt;Construction:LTRIPLET&lt;/a&gt; to &lt;a href=&quot;/wiki/LTRIPLET&quot; title=&quot;LTRIPLET&quot;&gt;LTRIPLET&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 12:21, 7 April 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Huebsch</name></author>
	</entry>
	<entry>
		<id>https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=15964&amp;oldid=prev</id>
		<title>Huebsch at 12:21, 7 April 2022</title>
		<link rel="alternate" type="text/html" href="https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=15964&amp;oldid=prev"/>
		<updated>2022-04-07T12:21:03Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 12:21, 7 April 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{DEF|LTRIPLET|.FALSE.|}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{DEF|LTRIPLET|.FALSE.|}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Description: {{TAG|LTRIPLET}} selects a triplet ansatz for Bethe-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Salpether&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Equation &lt;/del&gt;(BSE) calculations. This is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;entirely &lt;/del&gt;synonymous to  {{TAG|LHARTREE}} = .FALSE.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Description: {{TAG|LTRIPLET}} selects a triplet ansatz for &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[:Category:&lt;/ins&gt;Bethe-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Salpeter equations|Bethe-Salpeter&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;equations]] &lt;/ins&gt;(BSE) calculations. This is synonymous to  {{TAG|LHARTREE}} = .FALSE.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For a usual BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), the excited state corresponds to a singlet if the ground state is not spin-polarized ({{TAG|ISPIN}}=1) or anti-ferromagnetic ({{TAG|ISPIN}}=2, total magnetic moment 0). This is so because the ansatz for the BSE calculation involves a hole and an electron pair prepared within each spin channel. For instance, an electron with up spin is removed from the ground-state determinant and placed with the same spin into a previously unoccupied orbital. If there are no separate spin channels this ansatz results in a net spin zero, which corresponds to a singlet state.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For a usual BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), the excited state corresponds to a singlet if the ground state is not spin-polarized ({{TAG|ISPIN}}=1) or anti-ferromagnetic ({{TAG|ISPIN}}=2, total magnetic moment 0). This is so because the ansatz for the BSE calculation involves a hole and an electron pair prepared within each spin channel. For instance, an electron with up spin is removed from the ground-state determinant and placed with the same spin into a previously unoccupied orbital. If there are no separate spin channels this ansatz results in a net spin&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;zero, which corresponds to a singlet state.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If {{TAG|LTRIPLET}}=.TRUE., VASP assumes that an &#039;&#039;up&#039;&#039; electron is removed from the ground-state determinant and placed as a &#039;&#039;down&#039;&#039; electron into a previously unoccupied orbital (spin flip). This ansatz corresponds to a triplet state as it has a net spin of one. Without spin-orbit coupling ({{TAG|LSORBIT}} = .FALSE.), the transition probability from the singlet ground state to the triplet solutions will be exactly zero. These excitations correspond to dark, potentially long-lived triplet excitons. However, VASP calculates the transition probabilities incorrectly, by assuming that a spin flip excitation has the same transition probabilities as &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;for &lt;/del&gt;a usual singlet excitation.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If {{TAG|LTRIPLET}}=.TRUE., VASP assumes that an &#039;&#039;up&#039;&#039; electron is removed from the ground-state determinant and placed as a &#039;&#039;down&#039;&#039; electron into a previously unoccupied orbital (spin flip). This ansatz corresponds to a triplet state as it has a net spin of one. Without spin-orbit coupling ({{TAG|LSORBIT}} = .FALSE.), the transition probability from the singlet ground state to the triplet solutions will be exactly zero. These excitations correspond to dark, potentially long-lived triplet excitons. However, VASP calculates the transition probabilities incorrectly, by assuming that a spin&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;flip excitation has the same transition probabilities as a usual singlet excitation.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The reported transition probabilities (&quot;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;opticaltransitions&lt;/del&gt;&quot; in {{TAG|vasprun.xml}}) are hence incorrect; they should be all zero. Likewise, the contributions to the dielectric function are zero for triplet excitations,&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The reported transition probabilities (&quot;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;optical transitions&lt;/ins&gt;&quot; in {{TAG|vasprun.xml}}) are hence incorrect; they should be all zero. Likewise, the contributions to the dielectric function are zero for triplet excitations,&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;and incorrectly reported in the {{TAG|vasprun.xml}} file.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;and incorrectly reported in the {{TAG|vasprun.xml}} file.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l14&quot;&gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;singlet transitions as well as one set of the triplet excitations (those with &amp;lt;math&amp;gt; m_S=0&amp;lt;/math&amp;gt; ) are calculated. All triplet transitions will have zero transition probabilities. If {{TAG|LTRIPLET}} = .TRUE. is set for the BSE calculation, the other two sets of triplet excitations (those with &amp;lt;math&amp;gt; m_S=1&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; m_S=-1&amp;lt;/math&amp;gt;) are determined. Note that as for {{TAG|ISPIN}}=1 for {{TAG|ISPIN}}=2 and  {{TAG|LTRIPLET}} = .FALSE., incorrect non-zero transition probabilities are reported in the {{TAG|vasprun.xml}} file (they should be all exactly zero, since the underlying pair states fed into the BSE can not be excited by light).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;singlet transitions as well as one set of the triplet excitations (those with &amp;lt;math&amp;gt; m_S=0&amp;lt;/math&amp;gt; ) are calculated. All triplet transitions will have zero transition probabilities. If {{TAG|LTRIPLET}} = .TRUE. is set for the BSE calculation, the other two sets of triplet excitations (those with &amp;lt;math&amp;gt; m_S=1&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; m_S=-1&amp;lt;/math&amp;gt;) are determined. Note that as for {{TAG|ISPIN}}=1 for {{TAG|ISPIN}}=2 and  {{TAG|LTRIPLET}} = .FALSE., incorrect non-zero transition probabilities are reported in the {{TAG|vasprun.xml}} file (they should be all exactly zero, since the underlying pair states fed into the BSE can not be excited by light).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To obtain meaningful transition probabilities for the singlet and triplet excitations, spin-orbit coupling &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;should be included &lt;/del&gt;by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., for &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;the ground-state and BSE calculation.  In this case, the singlet and all three sets of triplet excitations are calculated simultaneously, and proper transition probabilities are assigned to each transition. Small transition &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;probabilties &lt;/del&gt;might&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To obtain meaningful transition probabilities for the singlet and triplet excitations, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;include &lt;/ins&gt;spin-orbit coupling by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., for the ground-state and BSE calculation.  In this case, the singlet and all three sets of triplet excitations are calculated simultaneously, and proper transition probabilities are assigned to each transition. Small transition &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;probabilities &lt;/ins&gt;might be observed even for triplet excitations as a result of spin&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;orbit coupling. {{TAG|LTRIPLET}} = .TRUE. should not be used for calculations including spin&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;orbit coupling.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;be observed even for triplet excitations as a result of spin orbit coupling. {{TAG|LTRIPLET}} = .TRUE. should not be used for calculations including spin orbit coupling.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{NB|warning| {{TAG|LTRIPLET}}{{=}}.TRUE. has not been extensively tested in combination with spin-polarized ground states ({{TAG|ISPIN}}{{=}}2).}}  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{NB|warning| {{TAG|LTRIPLET}}{{=}}.TRUE. has not been extensively tested in combination with spin-polarized ground states ({{TAG|ISPIN}}{{=}}2).}}  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{NB|warning| &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Not &lt;/del&gt;sure whether the [[BSEFATBAND]] approach can be combined with the {{TAG|LTRIPLET}} tag.}}  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{NB|warning| &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;We are not &lt;/ins&gt;sure whether the [[BSEFATBAND]] approach can be combined with the {{TAG|LTRIPLET}} tag.}}  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Related tags and articles==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Related tags and articles==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l33&quot;&gt;Line 33:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 31:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[The_VASP_Manual|Contents]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[The_VASP_Manual|Contents]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:INCAR]][[Category:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;BSE&lt;/del&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:INCAR &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;tag&lt;/ins&gt;]][[Category:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Many-body perturbation theory]][[Category:Bethe-Salpeter equations&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Huebsch</name></author>
	</entry>
	<entry>
		<id>https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=13804&amp;oldid=prev</id>
		<title>Kresse at 16:49, 12 January 2022</title>
		<link rel="alternate" type="text/html" href="https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=13804&amp;oldid=prev"/>
		<updated>2022-01-12T16:49:33Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:49, 12 January 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l12&quot;&gt;Line 12:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 12:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If a non-magnetic material is calculated using {{TAG|ISPIN}}=2 for both the groundstate and BSE calculation, and a usual BSE calculation is performed ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), all&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If a non-magnetic material is calculated using {{TAG|ISPIN}}=2 for both the groundstate and BSE calculation, and a usual BSE calculation is performed ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), all&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;singlet transitions as well as one set of the triplet excitations (those with &amp;lt;math&amp;gt; m_S=0&amp;lt;/math&amp;gt; ) are calculated. All triplet transitions will have zero transition probabilities. If {{TAG|LTRIPLET}} = .TRUE. is set for the BSE calculation, the other two sets of triplet excitations (those with &amp;lt;math&amp;gt; m_S=1&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; m_S=-1&amp;lt;/math&amp;gt;) are determined. Note that as for {{TAG|ISPIN}}=1 for {{TAG|ISPIN}}=2 and  {{TAG|LTRIPLET}} = .FALSE., incorrect non-zero transition probabilities are reported in the {{TAG|vasprun.xml}} file (they should be all exactly zero).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;singlet transitions as well as one set of the triplet excitations (those with &amp;lt;math&amp;gt; m_S=0&amp;lt;/math&amp;gt; ) are calculated. All triplet transitions will have zero transition probabilities. If {{TAG|LTRIPLET}} = .TRUE. is set for the BSE calculation, the other two sets of triplet excitations (those with &amp;lt;math&amp;gt; m_S=1&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; m_S=-1&amp;lt;/math&amp;gt;) are determined. Note that as for {{TAG|ISPIN}}=1 for {{TAG|ISPIN}}=2 and  {{TAG|LTRIPLET}} = .FALSE., incorrect non-zero transition probabilities are reported in the {{TAG|vasprun.xml}} file (they should be all exactly zero&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, since the underlying pair states fed into the BSE can not be excited by light&lt;/ins&gt;).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To obtain meaningful transition probabilities for the singlet and triplet excitations, spin-orbit coupling should be included by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., for  the ground-state and BSE calculation.  In this case, the singlet and all three sets of triplet excitations are calculated simultaneously, and proper transition probabilities are assigned to each transition. Small transition probabilties might&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To obtain meaningful transition probabilities for the singlet and triplet excitations, spin-orbit coupling should be included by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., for  the ground-state and BSE calculation.  In this case, the singlet and all three sets of triplet excitations are calculated simultaneously, and proper transition probabilities are assigned to each transition. Small transition probabilties might&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kresse</name></author>
	</entry>
	<entry>
		<id>https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=13742&amp;oldid=prev</id>
		<title>Kresse: Small corrections, and comment on LTRIPLET added for spin orbit coupling.</title>
		<link rel="alternate" type="text/html" href="https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=13742&amp;oldid=prev"/>
		<updated>2022-01-12T07:13:47Z</updated>

		<summary type="html">&lt;p&gt;Small corrections, and comment on LTRIPLET added for spin orbit coupling.&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 07:13, 12 January 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l5&quot;&gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For a usual BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), the excited state corresponds to a singlet if the ground state is not spin-polarized ({{TAG|ISPIN}}=1) or anti-ferromagnetic ({{TAG|ISPIN}}=2, total magnetic moment 0). &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;That &lt;/del&gt;is because the ansatz for the BSE calculation involves a hole and an electron pair prepared within each spin channel. For instance, an electron with up spin is removed from the ground-state determinant and placed with the same spin into a previously unoccupied orbital. If there are no separate spin channels this ansatz results in a net spin zero, which corresponds to a singlet state.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For a usual BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), the excited state corresponds to a singlet if the ground state is not spin-polarized ({{TAG|ISPIN}}=1) or anti-ferromagnetic ({{TAG|ISPIN}}=2, total magnetic moment 0). &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;This &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;so &lt;/ins&gt;because the ansatz for the BSE calculation involves a hole and an electron pair prepared within each spin channel. For instance, an electron with up spin is removed from the ground-state determinant and placed with the same spin into a previously unoccupied orbital. If there are no separate spin channels this ansatz results in a net spin zero, which corresponds to a singlet state.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If {{TAG|LTRIPLET}}=.TRUE., VASP assumes that an &#039;&#039;up&#039;&#039; electron is removed from the ground-state determinant and placed as a &#039;&#039;down&#039;&#039; electron into a previously unoccupied orbital (spin flip). This ansatz corresponds to a triplet state as it has a net spin of one. Without spin-orbit coupling ({{TAG|LSORBIT}} = .FALSE.), the transition probability from singlet ground state to the triplet solutions will be exactly zero. These excitations correspond to dark, potentially long-lived triplet excitons. However, VASP calculates the transition probabilities incorrectly, by assuming that a spin flip excitation has the same transition probabilities as for a usual singlet excitation.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If {{TAG|LTRIPLET}}=.TRUE., VASP assumes that an &#039;&#039;up&#039;&#039; electron is removed from the ground-state determinant and placed as a &#039;&#039;down&#039;&#039; electron into a previously unoccupied orbital (spin flip). This ansatz corresponds to a triplet state as it has a net spin of one. Without spin-orbit coupling ({{TAG|LSORBIT}} = .FALSE.), the transition probability from &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the &lt;/ins&gt;singlet ground state to the triplet solutions will be exactly zero. These excitations correspond to dark, potentially long-lived triplet excitons. However, VASP calculates the transition probabilities incorrectly, by assuming that a spin flip excitation has the same transition probabilities as for a usual singlet excitation.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The reported transition probabilities (&quot;opticaltransitions&quot; in {{TAG|vasprun.xml}}) are hence incorrect&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, &lt;/del&gt;they should be all zero. Likewise, the contributions to the dielectric function are zero for triplet excitations,&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The reported transition probabilities (&quot;opticaltransitions&quot; in {{TAG|vasprun.xml}}) are hence incorrect&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;they should be all zero. Likewise, the contributions to the dielectric function are zero for triplet excitations,&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;and incorrectly reported in the {{TAG|vasprun.xml}} file.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;and incorrectly reported in the {{TAG|vasprun.xml}} file.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If a non-magnetic material is calculated using {{TAG|ISPIN}}=2 for both the groundstate and BSE calculation, and a usual BSE calculation is performed ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), all&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If a non-magnetic material is calculated using {{TAG|ISPIN}}=2 for both the groundstate and BSE calculation, and a usual BSE calculation is performed ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), all&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;singlet transitions as well as one set of the triplet excitations (those with &amp;lt;math&amp;gt; m_S=0&amp;lt;/math&amp;gt; ) are calculated. All triplet transitions will have zero transition probabilities. If {{TAG|LTRIPLET}} = .TRUE. is set for the BSE calculation, the other two sets of triplet excitations (those with &amp;lt;math&amp;gt; m_S=1&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; m_S=-1&amp;lt;/math&amp;gt;) are determined. Note that as for {{TAG|ISPIN}}=1 for {{TAG|ISPIN}}=2 and  {{TAG|LTRIPLET}} = .FALSE., incorrect non-zero transition probabilities are reported in the {{TAG|vasprun.xml}} file (they should be all exactly zero).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;singlet transitions as well as one set of the triplet excitations (those with &amp;lt;math&amp;gt; m_S=0&amp;lt;/math&amp;gt; ) are calculated. All triplet transitions will have zero transition probabilities. If {{TAG|LTRIPLET}} = .TRUE. is set for the BSE calculation, the other two sets of triplet excitations (those with &amp;lt;math&amp;gt; m_S=1&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; m_S=-1&amp;lt;/math&amp;gt;) are determined. Note that as for {{TAG|ISPIN}}=1 for {{TAG|ISPIN}}=2 and  {{TAG|LTRIPLET}} = .FALSE., incorrect non-zero transition probabilities are reported in the {{TAG|vasprun.xml}} file (they should be all exactly zero).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To obtain meaningful transition probabilities for the singlet and triplet excitations, spin-orbit coupling should be included by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., for  the ground-state and BSE calculation.  In this case, the singlet and all three sets of triplet excitations are calculated simultaneously, and proper transition probabilities are assigned to each transition. Small transition &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;propabilties &lt;/del&gt;might&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To obtain meaningful transition probabilities for the singlet and triplet excitations, spin-orbit coupling should be included by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., for  the ground-state and BSE calculation.  In this case, the singlet and all three sets of triplet excitations are calculated simultaneously, and proper transition probabilities are assigned to each transition. Small transition &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;probabilties &lt;/ins&gt;might&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;be &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;visible &lt;/del&gt;even for triplet excitations as a result of spin orbit coupling.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;be &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;observed &lt;/ins&gt;even for triplet excitations as a result of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;spin orbit coupling. {{TAG|LTRIPLET}} = .TRUE. should not be used for calculations including &lt;/ins&gt;spin orbit coupling.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{NB|warning| {{TAG|LTRIPLET}}{{=}}.TRUE. has not been extensively tested in combination with spin-polarized ground states ({{TAG|ISPIN}}{{=}}2).}}  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{NB|warning| {{TAG|LTRIPLET}}{{=}}.TRUE. has not been extensively tested in combination with spin-polarized ground states ({{TAG|ISPIN}}{{=}}2).}}  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kresse</name></author>
	</entry>
	<entry>
		<id>https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=13739&amp;oldid=prev</id>
		<title>Kresse at 14:58, 11 January 2022</title>
		<link rel="alternate" type="text/html" href="https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=13739&amp;oldid=prev"/>
		<updated>2022-01-11T14:58:11Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:58, 11 January 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l11&quot;&gt;Line 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;and incorrectly reported in the {{TAG|vasprun.xml}} file.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;and incorrectly reported in the {{TAG|vasprun.xml}} file.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;To obtain accurate meaningful transition probabilities for the singlet and triplet excitations, spin-orbit coupling should be included by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., for  the ground-state and BSE calculation.  In this case, the singlet and triplet excitations are calculated all simultaneously, and proper transition probabilities are assigned to each transition.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If a non-magnetic material is calculated using {{TAG|ISPIN}}=2 for both the groundstate and BSE calculation, and a usual BSE calculation is performed ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If a non-magnetic material is calculated using {{TAG|ISPIN}}=2 for both the groundstate and BSE calculation, and a usual BSE calculation is performed ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;all&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;singlet as well as one set of the triplet excitations (&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;that &lt;/del&gt;with &amp;lt;math&amp;gt; m_S=0&amp;lt;/math&amp;gt; ) &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is &lt;/del&gt;calculated. If {{TAG|LTRIPLET}} = .TRUE. is set for the BSE calculation, the other two sets of triplet excitations (those with &amp;lt;math&amp;gt; m_S=1&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; m_S=-1&amp;lt;/math&amp;gt;) are determined. Note that &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;again &lt;/del&gt;for {{TAG|LTRIPLET}} = .FALSE., incorrect non-zero transition &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;propabilties &lt;/del&gt;are reported in the {{TAG|vasprun.xml}} file (they should be all zero).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;singlet &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;transitions &lt;/ins&gt;as well as one set of the triplet excitations (&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;those &lt;/ins&gt;with &amp;lt;math&amp;gt; m_S=0&amp;lt;/math&amp;gt; ) &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;are &lt;/ins&gt;calculated&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. All triplet transitions will have zero transition probabilities&lt;/ins&gt;. If {{TAG|LTRIPLET}} = .TRUE. is set for the BSE calculation, the other two sets of triplet excitations (those with &amp;lt;math&amp;gt; m_S=1&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; m_S=-1&amp;lt;/math&amp;gt;) are determined. Note that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;as for {{TAG|ISPIN}}=1 &lt;/ins&gt;for &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{TAG|ISPIN}}=2 and  &lt;/ins&gt;{{TAG|LTRIPLET}} = .FALSE., incorrect non-zero transition &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;probabilities &lt;/ins&gt;are reported in the {{TAG|vasprun.xml}} file (they should be all &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;exactly &lt;/ins&gt;zero).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;To obtain meaningful transition probabilities for the singlet and triplet excitations, spin-orbit coupling should be included by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., for  the ground-state and BSE calculation.  In this case, the singlet and all three sets of triplet excitations are calculated simultaneously, and proper transition probabilities are assigned to each transition. Small transition propabilties might&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;be visible even for triplet excitations as a result of spin orbit coupling.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;For a BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.) based on a spin-polarized ground-state calculation ({{TAG|ISPIN}}=2), VASP yields one set of singlet solutions and one set of triplet solutions. With {{TAG|LTRIPLET}}=.TRUE., VASP will obtain the remaining two sets of triplet solutions.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{NB|warning| {{TAG|LTRIPLET}}{{=}}.TRUE. has not been extensively tested in combination with spin-polarized ground states ({{TAG|ISPIN}}{{=}}2).}}  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{NB|warning| {{TAG|LTRIPLET}}{{=}}.TRUE. has not been extensively tested in combination with spin-polarized ground states ({{TAG|ISPIN}}{{=}}2).}}  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{NB|warning| Not sure whether the [[BSEFATBAND]] approach can be combined with the {{TAG|LTRIPLET}} tag.}}  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{NB|warning| Not sure whether the [[BSEFATBAND]] approach can be combined with the {{TAG|LTRIPLET}} tag.}}  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kresse</name></author>
	</entry>
	<entry>
		<id>https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=13738&amp;oldid=prev</id>
		<title>Kresse: Extended</title>
		<link rel="alternate" type="text/html" href="https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=13738&amp;oldid=prev"/>
		<updated>2022-01-11T14:50:34Z</updated>

		<summary type="html">&lt;p&gt;Extended&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:50, 11 January 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{DEF|LTRIPLET|.FALSE.|}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{DEF|LTRIPLET|.FALSE.|}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Description: {{TAG|LTRIPLET}} selects a triplet ansatz for Bethe-Salpether-Equation (BSE) calculations.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Description: {{TAG|LTRIPLET}} selects a triplet ansatz for Bethe-Salpether-Equation (BSE) calculations&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. This is entirely synonymous to  {{TAG|LHARTREE}} = .FALSE&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;----&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For a usual BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), the excited state corresponds to a singlet if the ground state is not spin-polarized ({{TAG|ISPIN}}=1). That is because the ansatz for the BSE calculation involves a hole and an electron pair prepared within each spin channel. For instance, an electron with up spin is removed from the ground-state determinant and placed with the same spin into a previously unoccupied orbital. If there are no &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;seperate &lt;/del&gt;spin channels this ansatz results in a net spin zero, which corresponds to a singlet state.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For a usual BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), the excited state corresponds to a singlet if the ground state is not spin-polarized ({{TAG|ISPIN}}=1&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;) or anti-ferromagnetic ({{TAG|ISPIN}}=2, total magnetic moment 0&lt;/ins&gt;). That is because the ansatz for the BSE calculation involves a hole and an electron pair prepared within each spin channel. For instance, an electron with up spin is removed from the ground-state determinant and placed with the same spin into a previously unoccupied orbital. If there are no &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;separate &lt;/ins&gt;spin channels this ansatz results in a net spin zero, which corresponds to a singlet state&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If {{TAG|LTRIPLET}}=.TRUE., VASP assumes that an &#039;&#039;up&#039;&#039; electron is removed from the ground-state determinant and placed as a &#039;&#039;down&#039;&#039; electron into a previously unoccupied orbital (spin flip). This ansatz corresponds to a triplet state as it has a net spin of one. Without spin-orbit coupling ({{TAG|LSORBIT}} = .FALSE.), the transition probability from singlet ground state to the triplet solutions will be exactly zero. These excitations correspond to dark, potentially long-lived triplet excitons. However, VASP calculates the transition probabilities incorrectly, by assuming that a spin flip excitation has the same transition probabilities as for a usual singlet excitation.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The reported transition probabilities (&quot;opticaltransitions&quot; in {{TAG|vasprun.xml}}) are hence incorrect, they should be all zero. Likewise, the contributions to the dielectric function are zero for triplet excitations,&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and incorrectly reported in the {{TAG|vasprun.xml}} file.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;To obtain accurate meaningful transition probabilities for the singlet and triplet excitations, spin-orbit coupling should be included by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., for  the ground-state and BSE calculation.  In this case, the singlet and triplet excitations are calculated all simultaneously, and proper transition probabilities are assigned to each transition.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If a non-magnetic material is calculated using {{TAG|ISPIN}}=2 for both the groundstate and BSE calculation, and a usual BSE calculation is performed ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), the&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;singlet as well as one set of the triplet excitations (that with &amp;lt;math&amp;gt; m_S=0&amp;lt;/math&amp;gt; ) is calculated. If {{TAG|LTRIPLET}} = .TRUE. is set for the BSE calculation, the other two sets of triplet excitations (those with &amp;lt;math&amp;gt; m_S=1&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt; m_S=-1&amp;lt;/math&amp;gt;) are determined. Note that again for {{TAG|LTRIPLET}} = .FALSE., incorrect non-zero transition propabilties are reported in the {{TAG|vasprun.xml}} file (they should be all zero)&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If {{TAG|LTRIPLET}}=.TRUE., VASP assumes that an &#039;&#039;up&#039;&#039; electron is removed from the ground-state determinant and places a &#039;&#039;down&#039;&#039; electron in a previously unoccupied orbital. This ansatz corresponds to a triplet state as it has a net spin one. Without spin-orbit coupling ({{TAG|LSORBIT}} = .FALSE.), many (or maybe even all) of the triplet solutions will have zero transition probabilities. These correspond to dark, potentially long-lived triplet excitons. To obtain non-zero transition probabilities for the triplets, spin-orbit coupling should be included by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., also in the ground-state calculation. &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For a BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.) based on a spin-polarized ground-state calculation ({{TAG|ISPIN}}=2), VASP yields one set of singlet solutions and one set of triplet solutions. With {{TAG|LTRIPLET}}=.TRUE., VASP will obtain the remaining two sets of triplet solutions.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For a BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.) based on a spin-polarized ground-state calculation ({{TAG|ISPIN}}=2), VASP yields one set of singlet solutions and one set of triplet solutions. With {{TAG|LTRIPLET}}=.TRUE., VASP will obtain the remaining two sets of triplet solutions.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Kresse</name></author>
	</entry>
	<entry>
		<id>https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=13729&amp;oldid=prev</id>
		<title>Huebsch: Created page with &quot;{{TAGDEF|LTRIPLET|.TRUE. {{!}} .FALSE.}} {{DEF|LTRIPLET|.FALSE.|}}  Description: {{TAG|LTRIPLET}} selects a triplet ansatz for Bethe-Salpether-Equation (BSE) calculations. ---...&quot;</title>
		<link rel="alternate" type="text/html" href="https://vasp.at/wiki/index.php?title=LTRIPLET&amp;diff=13729&amp;oldid=prev"/>
		<updated>2022-01-10T16:19:05Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{TAGDEF|LTRIPLET|.TRUE. {{!}} .FALSE.}} {{DEF|LTRIPLET|.FALSE.|}}  Description: {{TAG|LTRIPLET}} selects a triplet ansatz for Bethe-Salpether-Equation (BSE) calculations. ---...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{TAGDEF|LTRIPLET|.TRUE. {{!}} .FALSE.}}&lt;br /&gt;
{{DEF|LTRIPLET|.FALSE.|}}&lt;br /&gt;
&lt;br /&gt;
Description: {{TAG|LTRIPLET}} selects a triplet ansatz for Bethe-Salpether-Equation (BSE) calculations.&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
For a usual BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.), the excited state corresponds to a singlet if the ground state is not spin-polarized ({{TAG|ISPIN}}=1). That is because the ansatz for the BSE calculation involves a hole and an electron pair prepared within each spin channel. For instance, an electron with up spin is removed from the ground-state determinant and placed with the same spin into a previously unoccupied orbital. If there are no seperate spin channels this ansatz results in a net spin zero, which corresponds to a singlet state.&lt;br /&gt;
&lt;br /&gt;
If {{TAG|LTRIPLET}}=.TRUE., VASP assumes that an &amp;#039;&amp;#039;up&amp;#039;&amp;#039; electron is removed from the ground-state determinant and places a &amp;#039;&amp;#039;down&amp;#039;&amp;#039; electron in a previously unoccupied orbital. This ansatz corresponds to a triplet state as it has a net spin one. Without spin-orbit coupling ({{TAG|LSORBIT}} = .FALSE.), many (or maybe even all) of the triplet solutions will have zero transition probabilities. These correspond to dark, potentially long-lived triplet excitons. To obtain non-zero transition probabilities for the triplets, spin-orbit coupling should be included by setting {{TAG|LSORBIT}} = .TRUE. in the {{FILE|INCAR}} file throughout the calculation, i.e., also in the ground-state calculation. &lt;br /&gt;
&lt;br /&gt;
For a BSE calculation ({{TAG|LHARTREE}}=.TRUE.; {{TAG|LTRIPLET}} = .FALSE.) based on a spin-polarized ground-state calculation ({{TAG|ISPIN}}=2), VASP yields one set of singlet solutions and one set of triplet solutions. With {{TAG|LTRIPLET}}=.TRUE., VASP will obtain the remaining two sets of triplet solutions.&lt;br /&gt;
{{NB|warning| {{TAG|LTRIPLET}}{{=}}.TRUE. has not been extensively tested in combination with spin-polarized ground states ({{TAG|ISPIN}}{{=}}2).}} &lt;br /&gt;
{{NB|warning| Not sure whether the [[BSEFATBAND]] approach can be combined with the {{TAG|LTRIPLET}} tag.}} &lt;br /&gt;
&lt;br /&gt;
== Related tags and articles==&lt;br /&gt;
{{TAG|LHARTREE}},&lt;br /&gt;
{{TAG|ISPIN}},&lt;br /&gt;
{{TAG|LSORBIT}},&lt;br /&gt;
[[BSE calculations]]&lt;br /&gt;
&lt;br /&gt;
{{sc|LTRIPLET|Examples|Examples that use this tag}}&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&amp;lt;references/&amp;gt;&lt;br /&gt;
----&lt;br /&gt;
[[The_VASP_Manual|Contents]]&lt;br /&gt;
&lt;br /&gt;
[[Category:INCAR]][[Category:BSE]]&lt;/div&gt;</summary>
		<author><name>Huebsch</name></author>
	</entry>
</feed>