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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$GW$} \block{Functional form of the qs$GW$ and SRG-qs$GW$}
{ {
\begin{minipage}[t]{0.24\linewidth} \begin{minipage}[t]{0.5\linewidth}
\vspace{3cm} \begin{itemize}
\bigskip
\item qs$GW$ self-energy:
\bigskip
\begin{equation*} \begin{equation*}
\begin{split} \boxed{\boldsymbol{\Sigma}^{\text{qs}GW}_{pq}(\eta) =
&\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}}
\\
&\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}
\end{equation*} \end{equation*}
\bigskip
\vspace{4.5cm} {\small S. V. Faleev, M. van Schilfgaarde, and T. Kotani, Phys. Rev. Lett. 93, 126406 (2004)}
\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} \end{minipage}
\begin{adjustbox}{valign=t} \begin{adjustbox}{valign=t}
\begin{minipage}[t]{0.5\linewidth} \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{tikzfigure}
\end{minipage} \end{minipage}
\end{adjustbox} \end{adjustbox}
\begin{minipage}[t]{0.26\linewidth} % \begin{minipage}[t]{0.26\linewidth}
\vspace{3cm} % \vspace{3cm}
\begin{equation*} % \begin{equation*}
\begin{split} % \begin{split}
&\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = \\ % &\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} ] % &\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{split}
\end{equation*} % \end{equation*}
\end{minipage} % \end{minipage}
} }
\begin{columns} \begin{columns}