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arXiv · 1401.1142

Interacting fermionic topological insulators/superconductors in three dimensions

Chong Wang·T. Senthil
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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.

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Chong Wang, T. Senthil. 2014-01-06. Interacting fermionic topological insulators/superconductors in three dimensions. https://doi.org/10.1103/physrevb.89.195124

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