% Package: gridslides % Description: LaTeX package to create free form slides with blocks placed on a grid % File: example.tex % Author: Daniel Mendler % Version: 0.1.1 % Date: 2017-11-28 % 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} \definecolor{bordercolor}{HTML}{23373b} \newcommand{\border}{ \block(0,0,32){\tikz\fill[bordercolor] (0,0) rectangle (128mm,2mm);} \block(0,22,32){\tikz\fill[bordercolor] (0,0) rectangle (128mm,8mm);} } \newcommand{\logo}{\Large\textbf{\color{bordercolor}\TeX}} \author{Author} \title{Presentation Title} \date{\today} \institute{Institute~$\cdot$~University} \begin{style} \border \txt(28,1.5){\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(28,1.5){\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 superconductor} \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){ctrivial} \fig(18,5.5,12){cnontrivial} \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){band02} \txt(5,13.5){t=0.2} \fig(16,13.5,9){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}