\documentclass[%
reprint,
superscriptaddress,
%preprint,
nofootinbib,
nobibnotes,
 amsmath,amssymb,
 aps,
%pra,
%prb,
prl,
%rmp,
%floatfix,
11pt,
]{revtex4-1}

\usepackage{graphicx}% Include figure files
\usepackage{dcolumn}% Align table columns on decimal point
\usepackage{bm}% bold math

\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}

\usepackage{iftex}
\ifPDFTeX
   \usepackage[utf8]{inputenc}
   \usepackage[T1]{fontenc}
   \usepackage{lmodern}
\else
   \ifXeTeX
     \usepackage{xltxtra}
   \else
     \usepackage{luatextra}
   \fi
   %\setmainfont[Ligatures=TeX]{Linux Libertine O}
   %\setmainfont[Ligatures=TeX]{Arial Unicode MS}
   \setmainfont{FreeSerif}
   \setmonofont{FreeMono}
   \usepackage{polyglossia}
\fi

\usepackage[paperwidth=170mm, paperheight=140mm, margin=20mm]{geometry}
%\usepackage{etoolbox}
\linespread{1.1}%line spacing
\usepackage{setspace}
%\usepackage{caption}
\usepackage{float}

\makeatletter
\def\frontmatter@abstractwidth{370\p@}
%\def\frontmatter@title@above{\addvspace{1pt}}
\def\frontmatter@title@below{} %\addvspace{-10pt}}
%\def\frontmatter@above@affilgroup{\addvspace{-11pt}}
\def\frontmatter@preabstractspace{6\p@}
\def\frontmatter@postabstractspace{3.5\p@}
\def\frontmatter@authorformat{\centering\normalsize\addvspace{1.5\p@}}%
%%\def\frontmatter@authorformat{\centering\advance\baselineskip\p@\parskip0.1\p@\let\thanks\thanks@latex\let\and\and@space}%
%\def\frontmatter@authorbelow{\vskip -12pt}%
\def\frontmatter@abstractfont{\small\parindent0em\relax\adjust@abstractwidth}%
\makeatother

\begin{document}
\title{Mechanism of hole propagation in the orbital compass models}
\author{\underline{Wojciech Brzezicki}}
\affiliation{M. Smoluchowski Institute of Physics, PL-30059 Krak\'ow, Poland }
\affiliation{IFW Dresden,  D-01171 Dresden, Germany}
\affiliation{SPIN-CNR, I-84084 Fisciano (Salerno), Italy}
\author{Maria Daghofer}
\affiliation{IFW Dresden,  D-01171 Dresden, Germany}
\author{Andrzej M. Oleś}
\affiliation{M. Smoluchowski Institute of Physics, PL-30059 Krak\'ow, Poland }
\affiliation{ Max-Planck-Institut FKF, D-70569 Stuttgart, Germany}
\begin{abstract}
We explore the propagation of a single hole in the quantum compass model, whose nematic ground state is given by mutually decoupled antiferromagnetic (AF) chains [1]. This is the simplest model that describes orbital-like superexchange in two dimensions, which may be obtained as the strong-coupling limit of a spinless two-band Hubbard model, studied here by the mean-field theory and the variational cluster approach. Due to the symmetries of the model, the inherent disorder along one lattice direction turns out not to affect hole motion and doping a hole consequently does not lift the subextensive degeneracy of the nematic phase. We observe coherent hole motion due to both interorbital hopping perpendicular to the AF chains and three-site hopping along the chains. In the models for $t_{2g}$ orbitals only the latter mechanism is present [2]. Finally, a generalized compass model having a fully isotropic AF ground state shows that a small admixture of interorbital hopping can trigger hole's mobility.


\textbf{References:}
\begin{spacing}{0.8}

{\scriptsize[1] W. Brzezicki, M. Daghofer, and A. M. Ole\'s, Phys. Rev. B \textbf{89}, 024417 (2014).}

{\scriptsize[2] M. Daghofer, K. Wohlfeld et al., Phys. Rev. Lett. \textbf{100}, 066403 (2008).}
\end{spacing}

\end{abstract}
\maketitle

\end{document}
