From d12120eacdf4b292dff2f0ec8fda8f8eab31eadd Mon Sep 17 00:00:00 2001 From: Antoine MARIE Date: Tue, 28 Mar 2023 08:56:36 +0200 Subject: [PATCH] add references, final version? --- Poster/main.tex | 27 ++++++++++++++++++++------- 1 file changed, 20 insertions(+), 7 deletions(-) diff --git a/Poster/main.tex b/Poster/main.tex index d3adb76..03c9968 100644 --- a/Poster/main.tex +++ b/Poster/main.tex @@ -146,8 +146,11 @@ &= \sum_{i\nu} \frac{\red{W_{pi}^{\nu}} \red{W_{qi}^{\nu}}}{\omega - \teal{\epsilon^{GW}_{i}} + \orange{\Omega_{\nu}} - \ii \eta} \\ &+ \sum_{a\nu} \frac{\red{W_{pa}^{\nu}} \red{W_{qa}^{\nu}}}{\omega - \teal{\epsilon^{GW}_{a}} - \orange{\Omega_{\nu}} + \ii \eta} \end{split} - \end{equation*} + \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. GÅ‚azek 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}{