\begin{thebibliography}{7}
\expandafter\ifx\csname natexlab\endcsname\relax\def\natexlab#1{#1}\fi
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  \def\bibnamefont#1{#1}\fi
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  \def\bibfnamefont#1{#1}\fi
\expandafter\ifx\csname citenamefont\endcsname\relax
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  \def\url#1{\texttt{#1}}\fi
\expandafter\ifx\csname urlprefix\endcsname\relax\def\urlprefix{URL }\fi
\providecommand{\bibinfo}[2]{#2}
\providecommand{\eprint}[2][]{\url{#2}}

\bibitem[{\citenamefont{Carteaux
  et~al.}(1995{\natexlab{a}})\citenamefont{Carteaux, Moussa, and
  Spiesser}}]{crsite3-exp}
\bibinfo{author}{\bibfnamefont{V.}~\bibnamefont{Carteaux}},
  \bibinfo{author}{\bibfnamefont{F.}~\bibnamefont{Moussa}}, \bibnamefont{and}
  \bibinfo{author}{\bibfnamefont{M.}~\bibnamefont{Spiesser}},
  \bibinfo{journal}{EPL (Europhysics Letters)} \textbf{\bibinfo{volume}{29}},
  \bibinfo{pages}{251} (\bibinfo{year}{1995}{\natexlab{a}}).

\bibitem[{\citenamefont{Carteaux
  et~al.}(1995{\natexlab{b}})\citenamefont{Carteaux, Brunet, Ouvrard, and
  Andre}}]{crgete3-exp}
\bibinfo{author}{\bibfnamefont{V.}~\bibnamefont{Carteaux}},
  \bibinfo{author}{\bibfnamefont{D.}~\bibnamefont{Brunet}},
  \bibinfo{author}{\bibfnamefont{G.}~\bibnamefont{Ouvrard}}, \bibnamefont{and}
  \bibinfo{author}{\bibfnamefont{G.}~\bibnamefont{Andre}},
  \bibinfo{journal}{Journal of Physics: Condensed Matter}
  \textbf{\bibinfo{volume}{7}}, \bibinfo{pages}{69}
  (\bibinfo{year}{1995}{\natexlab{b}}).

\bibitem[{\citenamefont{Casto et~al.}(2015)\citenamefont{Casto, Clune, Yokosuk,
  Musfeldt, Williams, Zhuang, Lin, Xiao, Hennig, Sales
  et~al.}}]{spin-lattice-crsite3}
\bibinfo{author}{\bibfnamefont{L.}~\bibnamefont{Casto}},
  \bibinfo{author}{\bibfnamefont{A.}~\bibnamefont{Clune}},
  \bibinfo{author}{\bibfnamefont{M.}~\bibnamefont{Yokosuk}},
  \bibinfo{author}{\bibfnamefont{J.}~\bibnamefont{Musfeldt}},
  \bibinfo{author}{\bibfnamefont{T.}~\bibnamefont{Williams}},
  \bibinfo{author}{\bibfnamefont{H.}~\bibnamefont{Zhuang}},
  \bibinfo{author}{\bibfnamefont{M.-W.} \bibnamefont{Lin}},
  \bibinfo{author}{\bibfnamefont{K.}~\bibnamefont{Xiao}},
  \bibinfo{author}{\bibfnamefont{R.}~\bibnamefont{Hennig}},
  \bibinfo{author}{\bibfnamefont{B.}~\bibnamefont{Sales}},
  \bibnamefont{et~al.}, \bibinfo{journal}{APL Materials}
  \textbf{\bibinfo{volume}{3}}, \bibinfo{pages}{041515} (\bibinfo{year}{2015}).

\bibitem[{\citenamefont{Mostofi et~al.}(2008)\citenamefont{Mostofi, Yates, Lee,
  Souza, Vanderbilt, and Marzari}}]{wannier90}
\bibinfo{author}{\bibfnamefont{A.~A.} \bibnamefont{Mostofi}},
  \bibinfo{author}{\bibfnamefont{J.~R.} \bibnamefont{Yates}},
  \bibinfo{author}{\bibfnamefont{Y.~S.} \bibnamefont{Lee}},
  \bibinfo{author}{\bibfnamefont{I.}~\bibnamefont{Souza}},
  \bibinfo{author}{\bibfnamefont{D.}~\bibnamefont{Vanderbilt}},
  \bibnamefont{and} \bibinfo{author}{\bibfnamefont{N.}~\bibnamefont{Marzari}},
  \bibinfo{journal}{Computer Phys. Comm.} \textbf{\bibinfo{volume}{178}},
  \bibinfo{pages}{685} (\bibinfo{year}{2008}).

\bibitem[{\citenamefont{Marzari et~al.}(2012)\citenamefont{Marzari, Mostofi,
  Yates, Souza, and Vanderbilt}}]{MLWF-rmp}
\bibinfo{author}{\bibfnamefont{N.}~\bibnamefont{Marzari}},
  \bibinfo{author}{\bibfnamefont{A.~A.} \bibnamefont{Mostofi}},
  \bibinfo{author}{\bibfnamefont{J.~R.} \bibnamefont{Yates}},
  \bibinfo{author}{\bibfnamefont{I.}~\bibnamefont{Souza}}, \bibnamefont{and}
  \bibinfo{author}{\bibfnamefont{D.}~\bibnamefont{Vanderbilt}},
  \bibinfo{journal}{Rev. Mod. Phys.} \textbf{\bibinfo{volume}{84}},
  \bibinfo{pages}{1419} (\bibinfo{year}{2012}).

\bibitem[{\citenamefont{Sancho et~al.}(1985)\citenamefont{Sancho, Sancho,
  Sancho, and Rubio}}]{surface-gf}
\bibinfo{author}{\bibfnamefont{M.~L.} \bibnamefont{Sancho}},
  \bibinfo{author}{\bibfnamefont{J.~L.} \bibnamefont{Sancho}},
  \bibinfo{author}{\bibfnamefont{J.~L.} \bibnamefont{Sancho}},
  \bibnamefont{and} \bibinfo{author}{\bibfnamefont{J.}~\bibnamefont{Rubio}},
  \bibinfo{journal}{Journal of Physics F: Metal Physics}
  \textbf{\bibinfo{volume}{15}}, \bibinfo{pages}{851} (\bibinfo{year}{1985}).

\bibitem[{\citenamefont{Wang et~al.}(2006)\citenamefont{Wang, Yates, Souza, and
  Vanderbilt}}]{wang-prb06}
\bibinfo{author}{\bibfnamefont{X.}~\bibnamefont{Wang}},
  \bibinfo{author}{\bibfnamefont{J.~R.} \bibnamefont{Yates}},
  \bibinfo{author}{\bibfnamefont{I.}~\bibnamefont{Souza}}, \bibnamefont{and}
  \bibinfo{author}{\bibfnamefont{D.}~\bibnamefont{Vanderbilt}},
  \bibinfo{journal}{Phys. Rev. B} \textbf{\bibinfo{volume}{74}},
  \bibinfo{pages}{195118} (\bibinfo{year}{2006}).

\end{thebibliography}
