%0 Journal Article
%T The effect of interactions on 2D fermionic symmetry-protected topological phases with Z2 symmetry
%A Zheng-Cheng Gu
%A Michael Levin
%J Physics
%D 2013
%I arXiv
%R 10.1103/PhysRevB.89.201113
%X We study the effect of interactions on 2D fermionic symmetry-protected topological (SPT) phases using the recently proposed braiding statistics approach. We focus on a simple class of examples: superconductors with a Z2 Ising symmetry. Although these systems are classified by Z in the noninteracting limit, our results suggest that the classification collapses to Z8 in the presence of interactions -- consistent with previous work that analyzed the stability of the edge. Specifically, we show that there are at least 8 different types of Ising superconductors that cannot be adiabatically connected to one another, even in the presence of strong interactions. In addition, we prove that each of the 7 nontrivial superconductors have protected edge modes.
%U http://arxiv.org/abs/1304.4569v1