@article {IOPORT.06099305, author = {Maz\'a\v{c}, Dalimil and Hamma, Alioscia}, title = {Topological order, entanglement, and quantum memory at finite temperature.}, year = {2012}, journal = {Annals of Physics}, volume = {327}, number = {9}, issn = {0003-4916}, pages = {2096-2111}, publisher = {Academic Press (Elsevier Science), San Diego, CA}, doi = {10.1016/j.aop.2012.05.004}, abstract = {Summary: We compute the topological entropy of the toric code models in arbitrary dimension at finite temperature. We find that the critical temperatures for the existence of full quantum (classical) topological entropy correspond to the confinement-deconfinement transitions in the corresponding $\Bbb Z_{2}$ gauge theories. This implies that the thermal stability of topological entropy corresponds to the stability of quantum (classical) memory. The implications for the understanding of ergodicity breaking in topological phases are discussed.}, identifier = {06099305}, }