Interacting fermionic topological insulators/superconductors in three dimensions
Abstract
Symmetry Protected Topological (SPT) phases are a minimal generalization of the concept of topological insulators to interacting systems. In this paper we describe the classification and properties of such phases for three dimensional(3D) electronic systems with a number of different symmetries. For symmetries representative of all classes in the famous 10-fold way of free fermion topological insulators/superconductors, we determine the stability to interactions. By combining with results on bosonic SPT phases we obtain a classification of electronic 3D SPT phases for these symmetries. In cases with a normal U(1) subgroup we show that this classification is complete. We describe the non-trivial surface and bulk properties of these states. In particular we discuss interesting correlated surface states that are not captured in a free fermion description. We show that in many, but not all cases, the surface can be gapped while preserving symmetry if it develops intrinsic topological order.
Cite
@article{arxiv.1401.1142,
title = {Interacting fermionic topological insulators/superconductors in three dimensions},
author = {Chong Wang and T. Senthil},
journal= {arXiv preprint arXiv:1401.1142},
year = {2015}
}
Comments
14+1 pages, an erratum is added at the end, the original paper is unchanged