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VRijkl: Difference between revisions

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     2  1  1  1        0.0617934919      -0.0000371600
     2  1  1  1        0.0617934919      -0.0000371600
   ...
   ...
A proper {{FILE|WAVECAR}} file must be present in the working directory. The basis can be selected with {{TAG|DMFT_BASIS}}.  
A proper {{FILE|WAVECAR}} file must be present in the working directory. The basis can be selected with {{TAG|LOCALIZED_BASIS}}.  


Evaluation of Coulomb integrals can be computationally demanding if the number of basis functions becomes large.  
Evaluation of Coulomb integrals can be computationally demanding if the number of basis functions becomes large.  

Revision as of 14:06, 17 March 2026

This file is written for ALGO=2e4wa and stores all off-centre Coulomb integrals commensurate with the selected k-point grid

[math]\displaystyle{ V_{ijkl}^{\sigma\sigma'} = \int {\rm d}{\bf r}\int {\rm d}{\bf r}' \frac{ w_{i}^{*\sigma}({\bf r}) w_{j}^{\sigma}({\bf r}) w_{k}^{*\sigma'}({\bf r}'+{\bf R}) w_{l}^{\sigma'}({\bf r}'+{\bf R})}{|{\bf r}-{\bf r}'|} }[/math]

The format is as follows:

# V_ijkl = [ij,R|kl,0] 
#  I   J   K   L          RE(V_IJKL)          IM(V_IJKL)
# R:    1  0.000000  0.000000  0.000000
   1   1   1   1       14.4576272582        0.0000000000
   2   1   1   1        0.0000010313        0.0000031049
... 
# R:    2  0.000000  0.000000  1.000000
   1   1   1   1        4.6546536926        0.0000000000
   2   1   1   1        0.0617934919       -0.0000371600
 ...

A proper WAVECAR file must be present in the working directory. The basis can be selected with LOCALIZED_BASIS.

Evaluation of Coulomb integrals can be computationally demanding if the number of basis functions becomes large.

Related files

VIJKL,VIJKL,URijkl