Spin spirals: Difference between revisions
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Spin spirals may be conveniently modeled using a generalized Bloch condition: | Spin spirals may be conveniently modeled using a generalized Bloch condition: | ||
<span id="GeneralizedBlochTheorem"> | |||
:<math> | :<math> | ||
\left[ \begin{array}{c} \Psi^{\uparrow}_{\bf k}(\bf r) \\ | \left[ \begin{array}{c} \Psi^{\uparrow}_{\bf k}(\bf r) \\ | ||
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\Psi^{\downarrow}_{\bf k}(\bf r-R) \end{array} \right] | \Psi^{\downarrow}_{\bf k}(\bf r-R) \end{array} \right] | ||
</math> | </math> | ||
</span> | |||
Revision as of 10:58, 6 July 2018
Generalized Bloch condition
Spin spirals may be conveniently modeled using a generalized Bloch condition:
- [math]\displaystyle{ \left[ \begin{array}{c} \Psi^{\uparrow}_{\bf k}(\bf r) \\ \Psi^{\downarrow}_{\bf k}(\bf r) \end{array} \right] = \left( \begin{array}{cc} e^{-i\bf q \cdot \bf R / 2} & 0\\ 0 & e^{+i\bf q \cdot \bf R / 2} \end{array}\right) \left[ \begin{array}{c} \Psi^{\uparrow}_{\bf k}(\bf r-R) \\ \Psi^{\downarrow}_{\bf k}(\bf r-R) \end{array} \right] }[/math]