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Pierre-Francois Loos 2020-07-01 20:38:12 +02:00
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Notes/BSEdyn-notes.tex
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@ -367,7 +367,7 @@ is the correlation part of the self-energy $\Sig{}$, and
Z_{p}^{\GW} = \qty( 1 - \left. \pdv{\SigGW{p}(\omega)}{\omega} \right|_{\omega = \e{p}} )^{-1} Z_{p}^{\GW} = \qty( 1 - \left. \pdv{\SigGW{p}(\omega)}{\omega} \right|_{\omega = \e{p}} )^{-1}
\end{equation} \end{equation}
is the renormalization factor. is the renormalization factor.
In Eq.~\eqref{eq:SigGW}, $\Omega = \Delta\eGW{} + 2 \ERI{vc}{vc}$ is the sole (singlet) RPA excitation energy of the system, with $\Delta\eGW{} = \eGW{c} - \eGW{v}$. In Eq.~\eqref{eq:SigGW}, $\Omega = \Delta\e{} + 2 \ERI{vc}{cv}$ is the sole (singlet) RPA excitation energy of the system, with $\Delta\eGW{} = \eGW{c} - \eGW{v}$.
Numerically, we get Numerically, we get
\begin{align} \begin{align}
\Omega & = 2.769\,327 \Omega & = 2.769\,327