VRijkl: Difference between revisions

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(Created page with "This file stores the off-centre Coulomb integrals ::<math> 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...")
 
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This file stores the off-centre Coulomb integrals
{{NB|mind|Available as of VASP.6.5.2.}}
This file is written for {{TAG|ALGO}}=2e4wa and stores all off-centre Coulomb integrals
commensurate with the selected k-point grid
::<math>
::<math>
V_{ijkl}^{\sigma\sigma'} =  \int {\rm d}{\bf r}\int {\rm d}{\bf r}'
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}'|}
\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>
</math>  
The format is as follows:  
The format is as follows:  
  # V_ijkl = [ij,R|kl,0]  
  # V_ijkl = [ij,R|kl,0]  
Line 15: Line 17:
     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}}.
Evaluation of Coulomb integrals can be computationally demanding if the number of basis functions becomes large.
{{NB|tip|Use {{TAG|LDOWNSAMPLE}} to reduce k-point grid density for faster calculations.}}
== Related files ==
{{FILE|VIJKL}},{{FILE|VIJKL}},{{FILE|URijkl}}
----
[[Category:Files]][[Category:Output files]][[Category:Constrained-random-phase approximation]]

Latest revision as of 09:24, 28 March 2025

Mind: Available as of VASP.6.5.2.

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

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 DMFT_BASIS.

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

Tip: Use LDOWNSAMPLE to reduce k-point grid density for faster calculations.

Related files

VIJKL,VIJKL,URijkl