Abstract

The string-net model introduced by M. Levin and X.-G. Wen in 2005 allows one to generate all possible (bosonic) topological achiral phases in two dimensions. In this talk, I will explain how to compute the exact partition function of this model and discuss the finite-temperature properties of several quantities such as the Wilson loops or the topological mutual information. These results show that, in this context, topological order can only survive up to a temperature which depends on the system size and goes to zero in the thermodynamical limit.