2020-05-13 23:12:31 +02:00
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\documentclass{standalone}
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\usepackage{amsmath,amssymb,amsfonts,pgfpages,graphicx,subfigure,xcolor,bm,multirow,microtype,wasysym,multimedia,hyperref,tabularx,amscd,pgfgantt,mhchem,physics}
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\usetikzlibrary{shapes.gates.logic.US,trees,positioning,arrows}
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\usepackage{tgchorus}
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\usepackage[T1]{fontenc}
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\begin{document}
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\begin{tikzpicture}
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\begin{scope}[very thick,
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node distance=5cm,on grid,>=stealth',
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2020-06-09 09:58:41 +02:00
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theo1/.style={rectangle,draw,fill=red!20},
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theo2/.style={rectangle,draw,fill=orange!20},
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theo3/.style={rectangle,draw,fill=green!40},
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exp1/.style={rectangle,draw,fill=cyan!40},
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exp2/.style={rectangle,draw,fill=violet!40}]
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2020-05-13 23:12:31 +02:00
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2020-06-09 09:58:41 +02:00
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\node [theo1, text width=7cm, align=center] (KS)
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2020-05-13 23:12:31 +02:00
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{\textbf{\LARGE Kohn-Sham DFT}
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$$
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\qty[ -\frac{\nabla^2}{2} + v_\text{ext} + V^{\text{Hxc}} ] \phi_p^{\text{KS}} = \varepsilon^{\text{KS}}_p \phi_p^{\text{KS}}
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$$
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};
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2020-06-09 09:58:41 +02:00
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\node [theo2, text width=7cm, align=center] (GW) [below=of KS, yshift=2cm]
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2020-05-13 23:12:31 +02:00
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{\textbf{\LARGE $GW$ approximation}
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$$
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\varepsilon_p^{GW} = \varepsilon_p^{\text{KS}} +
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\mel{\phi_p^{\text{KS}}}{\Sigma^{GW}(\varepsilon_p^{GW}) - V^{\text{xc}}}{\phi_p^{\text{KS}}}
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$$
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};
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2020-06-09 09:58:41 +02:00
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\node [theo3, text width=7cm, align=center] (BSE) [below=of GW, yshift=2cm]
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2020-05-13 23:12:31 +02:00
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{\textbf{\LARGE Bethe-Salpeter equation}
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$$
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\begin{pmatrix}
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R & C \\
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2020-06-04 20:28:23 +02:00
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-C^* & -R^{*}
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2020-05-13 23:12:31 +02:00
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\end{pmatrix}
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2020-05-14 15:05:20 +02:00
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\begin{pmatrix}
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2020-05-13 23:12:31 +02:00
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X_m \\
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Y_m
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\end{pmatrix}
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2020-05-13 23:12:31 +02:00
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=
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\Omega_{m}
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\begin{pmatrix}
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X_m \\
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Y_m
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\end{pmatrix}
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$$
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};
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2020-06-09 09:58:41 +02:00
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\node [exp1, align=center] (photo) [right=of GW, xshift=3cm]
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{\LARGE (Inverse) \\ \LARGE photoemission \\ \LARGE spectroscopy};
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2020-05-13 23:12:31 +02:00
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2020-06-09 09:58:41 +02:00
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\node [exp2, align=center] (abs) [right=of BSE, xshift=3cm]
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{\LARGE Optical \\ \LARGE spectroscopy};
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2020-05-13 23:12:31 +02:00
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\path
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(KS) edge [->,color=black] node [right,black] {\LARGE Fundamental gap} (GW)
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(GW) edge [->,color=black] node [right,black] {\LARGE Excitonic effect} (BSE)
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2020-06-09 09:58:41 +02:00
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(photo) edge [<->,color=black] node [above,black] {Ionization potentials} node [below,black] {Electron affinities} (GW)
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(abs) edge [<->,color=black] node [above,black] {Optical excitations} (BSE)
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2020-05-13 23:12:31 +02:00
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;
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\end{scope}
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\end{tikzpicture}
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\end{document}
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