saving work in poster

This commit is contained in:
Antoine Marie 2023-03-20 14:43:55 +01:00
parent b3a154df69
commit 3233830448
4 changed files with 137 additions and 44 deletions

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@ -17,6 +17,39 @@
\date{\today}
\institute{Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, France}
\definecolor{darkgreen}{RGB}{0, 180, 0}
\definecolor{fooblue}{RGB}{0,153,255}
\definecolor{fooyellow}{RGB}{234,180,0}
\definecolor{lavender}{rgb}{0.71, 0.49, 0.86}
\definecolor{inchworm}{rgb}{0.7, 0.93, 0.36}
\newcommand{\violet}[1]{\textcolor{violet}{#1}}
\newcommand{\orange}[1]{\textcolor{orange}{#1}}
\newcommand{\purple}[1]{\textcolor{purple}{#1}}
\newcommand{\blue}[1]{\textcolor{blue}{#1}}
\newcommand{\green}[1]{\textcolor{darkgreen}{#1}}
\newcommand{\yellow}[1]{\textcolor{fooyellow}{#1}}
\newcommand{\red}[1]{\textcolor{red}{#1}}
\newcommand{\cyan}[1]{\textcolor{cyan}{#1}}
\newcommand{\magenta}[1]{\textcolor{magenta}{#1}}
\newcommand{\highlight}[1]{\textcolor{fooblue}{#1}}
\newcommand{\pub}[1]{\textcolor{purple}{#1}}
\newcommand{\bSig}{\boldsymbol{\Sigma}}
\newcommand{\bSigC}{\boldsymbol{\Sigma}^{\text{c}}}
\newcommand{\be}{\boldsymbol{\epsilon}}
\newcommand{\bOm}{\boldsymbol{\Omega}}
\newcommand{\bEta}[1]{\boldsymbol{\eta}^{(#1)}(s)}
\newcommand{\ii}{\mathrm{i}}
\newcommand{\GW}{GW}
\newcommand{\GF}{\text{GF(2)}}
\newcommand{\GT}{GT}
\newcommand{\evGW}{\text{ev}GW}
\newcommand{\qsGW}{\text{qs}GW}
\newcommand{\SRGGW}{\text{SRG-}GW}
\newcommand{\SRGqsGW}{\text{SRG-qs}GW}
\newcommand{\GOWO}{G_0W_0}
\makeatletter
\newcommand\insertlogoi[2][]{\def\@insertlogoi{\includegraphics[#1]{#2}}}
\newcommand\insertlogoii[2][]{\def\@insertlogoii{\includegraphics[#1]{#2}}}
@ -92,10 +125,31 @@
\begin{columns}
\column{0.5}
\block{GW}{\blindtext}
\block{Dynamic $GW$}
{
\begin{minipage}{0.4\linewidth}
\begin{tikzfigure}
\includegraphics[width=0.8\textwidth]{square}
\end{tikzfigure}
\end{minipage}
\begin{minipage}{0.6\linewidth}
\begin{equation*}
\qty[ \underbrace{\blue{\boldsymbol{F}}}_{\text{\blue{Fock matrix}}} + \underbrace{\violet{\boldsymbol{\Sigma}^{\GW}} (\omega = \epsilon^{GW}_{p})}_{\text{\violet{dynamic self-energy}}} ] \psi_{p}^{GW}
= \epsilon^{GW}_{p} \psi_{p}^{GW}
\end{equation*}
\vspace{1cm}
\begin{equation*}
\begin{split}
\violet{\Sigma_{pq}^{GW}}(\omega)
&= \sum_{i\nu} \frac{\red{W_{pi}^{\nu}} \red{W_{qi}^{\nu}}}{\omega - \epsilon^{GW}_{i} + \orange{\Omega_{\nu}} - \ii \eta} \\
&+ \sum_{a\nu} \frac{\red{W_{pa}^{\nu}} \red{W_{qa}^{\nu}}}{\omega - \epsilon^{GW}_{a} - \orange{\Omega_{\nu}} + \ii \eta}
\end{split}
\end{equation*}
\end{minipage}
}
\column{0.5}
\block{SRG}{
\begin{minipage}[t]{0.48\linewidth}
\begin{minipage}{0.49\linewidth}
The pillar of the SRG formalism is the flow equation
\begin{equation}
\label{eq:flowEquation}
@ -115,61 +169,100 @@
\end{equation}
\end{minipage}
\hfill\vline\hfill
\begin{minipage}[t]{0.48\linewidth}
BLABLABLA
\begin{minipage}{0.49\linewidth}
\begin{tikzfigure}
\includegraphics[width=0.9\textwidth]{SRGMatrix}
\end{tikzfigure}
\end{minipage}
}
\end{columns}
\block{SRG-GW}
{
\begin{minipage}{0.7\linewidth}
\blindtext
\end{minipage}
\begin{minipage}{0.3\linewidth}
\begin{tikzfigure}
\includegraphics[width=0.85\textwidth]{fig1.pdf}
\end{tikzfigure}
\end{minipage}
}
\block{Functional form of the qs$GW$ and SRG-qs$GW$}{
\begin{minipage}[t]{0.25\linewidth}
BLABLABLA
\end{minipage}
\begin{adjustbox}{valign=t}
\begin{minipage}[t]{0.5\linewidth}
\begin{tikzfigure}
\includegraphics[width=0.8\textwidth]{fig2.pdf}
\end{tikzfigure}
\end{minipage}
\end{adjustbox}
\begin{minipage}[t]{0.25\linewidth}
BLABLABLA
\end{minipage}
}
\begin{columns}
\column{0.5}
\block{Something else}{
\begin{tikzfigure}
\includegraphics[height=15cm]{fig3.pdf}
\end{tikzfigure}}
\column{0.5}
\block{$GW$50 statistics}{
\begin{tikzfigure}
\includegraphics[height=15cm]{fig6.pdf}
\end{tikzfigure}}
\column{0.35}
\block{Static $GW$}
{
\begin{tikzfigure}
\includegraphics[width=0.29\textwidth]{upfolding.pdf}
\end{tikzfigure}}
\column{0.65}
\block{SRG-$GW$}
{
\begin{minipage}{0.575\linewidth}
\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} ] \\
&\qq{with} \Delta_{pr}^{\nu} = \epsilon^{GW}_{p} - \epsilon^{GW}_{r} \pm \Omega_\nu \\
\\
&\violet{\widetilde{\Sigma}_{pq}^{\SRGGW}}(\omega;s) = \\
&\sum_{i\nu} \frac{\red{W_{pi}^{\nu}} \red{W_{qi}^{\nu}}e^{-((\Delta_{pi}^{\nu})^2+(\Delta_{qi}^{\nu})^2) s}}{\omega - \epsilon^{GW}_{i} + \Omega_{\nu}} + \sum_{a\nu} \frac{\red{W_{pa}^{\nu}} \red{W_{qa}^{\nu}}e^{-((\Delta_{pa}^{\nu})^2+(\Delta_{qa}^{\nu})^2) s}}{\omega - \epsilon^{GW}_{a} - \Omega_{\nu}}
\end{split}
\end{equation*}
\end{minipage}
\begin{minipage}{0.425\linewidth}
\begin{tikzfigure}
\includegraphics[width=\textwidth]{fig1.pdf}
\end{tikzfigure}
\end{minipage}
}
\end{columns}
\block{Functional form of the qs$GW$ and SRG-qs$GW$}
{
\begin{minipage}[t]{0.275\linewidth}
\vspace{2.5cm}
\begin{equation*}
\begin{split}
&\boldsymbol{\Sigma}^{\text{qs}GW}_{pq}(\eta) = \delta_{pq} \epsilon^{\text{HF}}_{p} + \\
\\
&\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{minipage}
\begin{adjustbox}{valign=t}
\begin{minipage}[t]{0.45\linewidth}
\begin{tikzfigure}
\includegraphics[width=0.8\textwidth]{fig2.pdf}
\end{tikzfigure}
\end{minipage}
\end{adjustbox}
\begin{minipage}[t]{0.275\linewidth}
\vspace{2.5cm}
\begin{equation*}
\begin{split}
&\boldsymbol{\Sigma}^{\text{SRG-qs}GW}_{pq}(s) = \delta_{pq} \epsilon^{\text{HF}}_{p} + \\
\\
&\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}
\column{0.33}
\block{IP flow parameter dependence}{
\begin{tikzfigure}
\includegraphics[height=14cm]{fig3.pdf}
\end{tikzfigure}}
\column{0.33}
\block{EA flow parameter dependence}{
\begin{tikzfigure}
\includegraphics[height=14cm]{fig4.pdf}
\end{tikzfigure}}
\column{0.33}
\block{MAE flow parameter dependence}{
\begin{tikzfigure}
\includegraphics[height=14cm]{fig6.pdf}
\end{tikzfigure}}
\end{columns}
\begin{columns}
\column{0.85}
\block{$GW$50 statistics}{
\begin{tikzfigure}
\includegraphics[height=15cm]{fig5.pdf}
\includegraphics[height=14cm]{fig5.pdf}
\end{tikzfigure}}
\column{0.15}
\block{Funding}{