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Pierre-Francois Loos 2023-03-28 11:14:23 +02:00
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Poster/main.tex
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@ -220,18 +220,26 @@ S. D. Głazek and K. G. Wilson, Phys. Rev. D 48, 5863 (1993)
\block{Functional form of the qs$GW$ and SRG-qs$GW$}
{
\begin{minipage}[t]{0.24\linewidth}
\vspace{3cm}
\begin{minipage}[t]{0.5\linewidth}
\begin{itemize}
\bigskip
\item qs$GW$ self-energy:
\bigskip
\begin{equation*}
\begin{split}
&\boldsymbol{\Sigma}^{\text{qs}GW}_{pq}(\eta) = \\
\\
&\sum_{r\nu} \frac{1}{2}\qty(\frac{\Delta_{pr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + \eta^2 } + \frac{\Delta_{qr}^{\nu}}{(\Delta_{qr}^{\nu})^2 + \eta^2}) W_{pr}^{\nu} W_{qr}^{\nu}
\end{split}
\boxed{\boldsymbol{\Sigma}^{\text{qs}GW}_{pq}(\eta) =
\sum_{r\nu} \frac{1}{2}\qty(\frac{\Delta_{pr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + \eta^2 } + \frac{\Delta_{qr}^{\nu}}{(\Delta_{qr}^{\nu})^2 + \eta^2}) W_{pr}^{\nu} W_{qr}^{\nu}}
\end{equation*}
\vspace{4.5cm}
\small S. V. Faleev, M. van Schilfgaarde, and T. Kotani, Phys. Rev. Lett. 93, 126406 (2004)
\bigskip
{\small S. V. Faleev, M. van Schilfgaarde, and T. Kotani, Phys. Rev. Lett. 93, 126406 (2004)}
\bigskip
\item SRG-qs$GW$ self-energy:
\bigskip
\begin{equation*}
\boxed{\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) =
\sum_{r\nu} \frac{\Delta_{pr}^{\nu} + \Delta_{qr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + (\Delta_{qr}^{\nu})^2 } W_{pr}^{\nu} W_{qr}^{\nu} \qty[1 - e^{-((\Delta_{pr}^{\nu})^2+(\Delta_{qr}^{\nu})^2) s} ]}
\end{equation*}
\end{itemize}
\bigskip
\end{minipage}
\begin{adjustbox}{valign=t}
\begin{minipage}[t]{0.5\linewidth}
@ -240,16 +248,16 @@ S. D. Głazek and K. G. Wilson, Phys. Rev. D 48, 5863 (1993)
\end{tikzfigure}
\end{minipage}
\end{adjustbox}
\begin{minipage}[t]{0.26\linewidth}
\vspace{3cm}
\begin{equation*}
\begin{split}
&\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = \\
\\
&\sum_{r\nu} \frac{\Delta_{pr}^{\nu} + \Delta_{qr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + (\Delta_{qr}^{\nu})^2 } W_{pr}^{\nu} W_{qr}^{\nu} \qty[1 - e^{-((\Delta_{pr}^{\nu})^2+(\Delta_{qr}^{\nu})^2) s} ]
\end{split}
\end{equation*}
\end{minipage}
% \begin{minipage}[t]{0.26\linewidth}
% \vspace{3cm}
% \begin{equation*}
% \begin{split}
% &\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = \\
% \\
% &\sum_{r\nu} \frac{\Delta_{pr}^{\nu} + \Delta_{qr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + (\Delta_{qr}^{\nu})^2 } W_{pr}^{\nu} W_{qr}^{\nu} \qty[1 - e^{-((\Delta_{pr}^{\nu})^2+(\Delta_{qr}^{\nu})^2) s} ]
% \end{split}
% \end{equation*}
% \end{minipage}
}
\begin{columns}