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