RT Journal Article T1 Scaling law for topologically ordered systems at finite temperature A1 Iblisdir, I. A1 Pérez García, David A1 Aguado, M. A1 Pachos, J. AB 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. PB American Physical Society SN 1098-0121 YR 2009 FD 2009-04-16 LK https://hdl.handle.net/20.500.14352/42495 UL https://hdl.handle.net/20.500.14352/42495 LA eng NO Spanish Ministry of Science NO Comunidad de Madrid NO Generalitat de Catalunya NO MEC Spain NO QAP EU DS Docta Complutense RD 8 abr 2025