%0 Journal Article
%A Iblisdir, I.
%A Pérez García, David
%A Aguado, M.
%A Pachos, J.
%T Scaling law for topologically ordered systems at finite temperature
%D 2009
%@ 1098-0121
%U https://hdl.handle.net/20.500.14352/42495
%X Understanding the behavior of topologically ordered lattice systems at finite temperature is a way of assessing their potential as fault-tolerant quantum memories. We compute the natural extension of the topological entanglement entropy for T>0, namely, the subleading correction I(topo) to the area law for mutual information. Its dependence on T can be written, for Abelian Kitaev models, in terms of information-theoretical functions and readily identifiable scaling behavior, from which the interplay between volume, temperature, and topological order, can be read. These arguments are extended to non-Abelian quantum double models, and numerical results are given for the D(S(3)) model, showing qualitative agreement with the Abelian case.
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