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This commit is contained in:
Antoine Marie 2022-11-13 16:20:14 +01:00
parent cb9b4d3145
commit abfcb11267
1 changed files with 2 additions and 2 deletions
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Slides/SRG-GF.tex
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@ -344,7 +344,7 @@
\begin{equation}
\Tilde{\bF}(s) = \bF + \bF^{(2)}(s)
\qq{with}
\Tilde{\bF}_{pq}(s) = \delta_{pq} \eps_{p} - \sum_{rm} \frac{\Tilde{W}_{pi,m}(s) \Tilde{W}_{qi,m}(s)}{\Delta_m^{pr} \Delta_m^{qr}}
\Tilde{\bF}_{pq}(s) = \delta_{pq} \eps_{p} - \sum_{r,m} \frac{\Tilde{W}_{pr,m}(0) \Tilde{W}_{qr,m}(0) - \Tilde{W}_{pr,m}(s) \Tilde{W}_{qr,m}(s)}{\Delta_p^{(r,m)} \Delta_q^{(r,m)}}
\end{equation}
\end{block}
\begin{block}{Regularized $GW$ self-energy}
@ -353,7 +353,7 @@
= \sum_{im} \frac{\Tilde{W}_{pi,m}(s) \Tilde{W}_{qi,m}(s)}{\om - \eps_{i} + \Om_{m}}
+ \sum_{am} \frac{\Tilde{W}_{pa,m}(s) \Tilde{W}_{qa,m}(s)}{\om - \eps_{a} - \Om_{m}}
\qq{with}
\Tilde{W}_{pq,m}(s) = W_{pq,m} e^{-(\eps_{p} - \eps_{q} + \Om_{m})^2 s}
\Tilde{W}_{pq,m}(s) = W_{pq,m} e^{-(\Delta_p^{(q,v)})^2 s}
\end{equation}
\end{block}
\end{frame}