add references, final version?

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Antoine Marie 2023-03-28 08:56:36 +02:00
parent b92deb622e
commit d12120eacd

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@ -148,6 +148,9 @@
\end{split}
\end{equation*}
\end{minipage}
\vspace{0.5cm}
\small L. Hedin, Phys. Rev. 139, A796 (1965); R. M. Martin, L. Reining, and D. M. Ceperley, (Cambridge University Press, 2016)
}
\column{0.5}
\block{Similarity Renormalization Group (SRG)}{
@ -169,6 +172,10 @@
\begin{equation}
\boldsymbol{\eta}^\text{W}(s) = \comm{\boldsymbol{H}^\text{d}(s)}{\boldsymbol{H}^\text{od}(s)}
\end{equation}
\vspace{0.5cm}
\small F. Wegner, Ann. Phys. 3, 77 (1994) \\
S. D. Głazek and K. G. Wilson, Phys. Rev. D 48, 5863 (1993)
\end{minipage}
\hfill\vline\hfill
\begin{minipage}{0.49\linewidth}
@ -184,8 +191,10 @@
\block{Static $GW$}
{
\begin{tikzfigure}
\includegraphics[width=0.29\textwidth]{upfolding.pdf}
\end{tikzfigure}}
\includegraphics[width=0.27\textwidth]{upfolding.pdf}
\end{tikzfigure}
\small S. J. Bintrim and T. C. Berkelbach, J. Chem. Phys. 154, 041101
(2021).}
\column{0.65}
\block{SRG-$GW$}
{
@ -193,6 +202,7 @@
\begin{equation*}
\begin{split}
\blue{\widetilde{\boldsymbol{F}}_{pq}}(s) &= \delta_{pq} \blue{\epsilon^{\text{HF}}_{p}} + \sum_{r\nu} \frac{\Delta_{pr}^{\nu} + \Delta_{qr}^{\nu}}{(\Delta_{pr}^{\nu})^2 + (\Delta_{qr}^{\nu})^2 } \red{W_{pr}^{\nu}} \red{W_{qr}^{\nu}} \qty[1 - e^{-((\Delta_{pr}^{\nu})^2+(\Delta_{qr}^{\nu})^2) s} ] \\
\\
\Delta_{pr}^{\nu} &= \teal{\epsilon^{GW}_{p}} - \teal{\epsilon^{GW}_{r}} \pm \orange{\Omega_{\nu}} \\
\\
\violet{\widetilde{\Sigma}_{pq}^{\SRGGW}} &= \sum_{i\nu} \frac{e^{-(\Delta_{pi}^{\nu})^2 s}\red{W_{pi}^{\nu}} \red{W_{qi}^{\nu}}e^{-(\Delta_{qi}^{\nu})^2 s}}{\omega - \teal{\epsilon^{GW}_{i}} + \orange{\Omega_{\nu}}} + \sum_{a\nu} \frac{e^{-(\Delta_{pa}^{\nu})^2 s}\red{W_{pa}^{\nu}} \red{W_{qa}^{\nu}}e^{-(\Delta_{qa}^{\nu})^2 s}}{\omega - \teal{\epsilon^{GW}_{a}} - \orange{\Omega_{\nu}}}
@ -219,6 +229,9 @@
&\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*}
\vspace{4.5cm}
\small S. V. Faleev, M. van Schilfgaarde, and T. Kotani, Phys. Rev. Lett. 93, 126406 (2004)
\end{minipage}
\begin{adjustbox}{valign=t}
\begin{minipage}[t]{0.5\linewidth}
@ -243,17 +256,17 @@
\column{0.33}
\block{IP flow parameter dependence}{
\begin{tikzfigure}
\includegraphics[height=14cm]{fig3.pdf}
\includegraphics[height=13.5cm]{fig3.pdf}
\end{tikzfigure}}
\column{0.33}
\block{EA flow parameter dependence}{
\begin{tikzfigure}
\includegraphics[height=14cm]{fig4.pdf}
\includegraphics[height=13.5cm]{fig4.pdf}
\end{tikzfigure}}
\column{0.33}
\block{MAE flow parameter dependence}{
\begin{tikzfigure}
\includegraphics[height=14cm]{fig6.pdf}
\includegraphics[height=13.5cm]{fig6.pdf}
\end{tikzfigure}}
\end{columns}
@ -263,7 +276,7 @@
\column{0.85}
\block{$GW$50 statistics}{
\begin{tikzfigure}
\includegraphics[height=14cm]{fig5.pdf}
\includegraphics[height=13.5cm]{fig5.pdf}
\end{tikzfigure}}
\column{0.15}
\block{Funding}{