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% Package: gridslides
% Description: LaTeX package to create free form slides with blocks placed on a grid
% File: example.tex
% Author: Daniel Mendler <mail@daniel-mendler.de>
% Version: 0.1
% Date: 2017/11/11
% License: GPL2 or LPPL1.3 at your option
% Homepage: https://github.com/minad/gridslides
\documentclass{gridslides}
\usepackage{cmbright}
\newcommand{\hcterm}{\text{H.c.}}
\newcommand{\nodag}{{\phantom{\dag}}}
\newcommand{\hc}{^\dag}
\newcommand{\trans}{^\intercal}
\newcommand{\nohc}{^\nodag}
\newcommand{\OpH}{\ensuremath{\mathcal{H}}\xspace}
\newcommand{\HH}{\ensuremath{\widehat{\OpH}}\xspace}
\renewcommand{\vec}[1]{\ensuremath{\boldsymbol{#1}}\xspace}
\newcommand{\border}{
\block(0,0,32){\tikz\fill[blue!40!black] (0,0) rectangle (128mm,2mm);}
\block(0,0.5,32){\tikz\fill[blue!40!black] (0,0) rectangle (2mm,86mm);}
\block(31.5,0.5,1){\tikz\fill[blue!40!black] (0,0) rectangle (2mm,86mm);}
\block(0,22,32){\tikz\fill[blue!40!black] (0,0) rectangle (128mm,8mm);}
}
\author{Author}
\title{Presentation Title}
\date{\today}
\institute{Institute~$\cdot$~University}
\begin{style}
\border
\txt(26.5,1.5){\Large\textbf{\color{blue!50!black}LOGO}}
\block(1.5,2,26){\LARGE\theheadline}
\txt(1,22.8){\color{white}\theslide}
\txt(4,22.9){\color{white}\scriptsize\theauthor~$\cdot$~\thetitle}
\end{style}
\begin{document}
\begin{rawslide}
\border
\txt(26.5,1.5){\Large\textbf{\color{blue!50!black}LOGO}}
\block(2,5,28){\LARGE\thetitle}
\txt(2,9.5){\theauthor~$\cdot$~\thedate}
\txt(2,11.7){\footnotesize\theinstitute}
\end{rawslide}
\begin{slide}{Overview}
\block(1.5,5,29){
\begin{enumerate}[1.]
\item Topological phases
\item 1D p-wave superconductor
\end{enumerate}
}
\end{slide}
\begin{slide}{Topological Phases}
\fig(3,4,12){qahe}
\fig(17,4,12){qshe}
\txt(6,11){Conducting edge channels $\longleftrightarrow$ Non-trivial bandstructure}
\txt<2->(1.5,12.5){QAHE bulk Hamiltonian $\HH(\vec{k}) = \vec{g}(\vec{k})\cdot\vec{\sigma}$}
\eq<2->(13,14.2){\vec{g}(k_x,k_y) = \left(\sin k_x, \sin k_y, \cos k_x + \cos k_y - M \right)\trans}
\only<3>{
\fig(0.5,15,16){skyrmion}
\eq(4,20){M=1}
\block(4,15,5){\tikz \node[fill=white,text=red!90!black,inner sep=0.5mm]
{non-trivial};}
\fig(15,16,16){trivial}
\eq(18,21){M=3}
\block(20,17.5,2.2){\tikz \node[fill=white,inner sep=0.5mm,text=blue!90!black]
{trivial};}
}
\end{slide}
\begin{slide}{1D p-wave-SC}
\txt(1.5,11){Lattice}
\eq(6.5,10){\OpH = \sum_{i=1}^{n-1} \left [ t c_i\hc c_{i+1}\nohc + \Delta c\nohc_i c\nohc_{i+1} + \hcterm \right] - \mu \sum_{i=1}^n c_i\hc c_i\nohc}
\fig(2,4,12){chain_trivial}
\fig(18,5.5,12){chain_nontrivial}
\block<2->(26,10.5,4){%
\tikz \node[draw=red,inner sep=1mm] {
\scriptsize Majorana operators
$\begin{aligned}
\gamma_j\nohc &= \frac{c_j\nohc + c_j\hc}{2}\\
\gamma_j' &= \frac{c_j\nohc - c_j\hc}{2 \imath}
\end{aligned}$
};
}
\only<3>{
\fig(3,13.5,9){kitaev_band02}
\txt(5,13.5){t=0.2}
\fig(16,13.5,9){kitaev_band08}
\txt(18,13.5){t=0.8}
\txt(4,20.5){Bulk}
\eq(9,20.3){\HH(k) = (2t \cos k - \mu)\tau_z - 2\Delta\sin k\, \tau_y\qquad\vec{c}_k\hc = \left( c_k\hc,\, c_{-k}\nohc\right)}
}
\end{slide}
\end{document}
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