Microscopic Theory of Surface Topological Order for Topological Crystalline Superconductors

We construct microscopic Hamiltonians for symmetry-preserving topologically ordered states on the surface of topological crystalline superconductors, protected by a Z_{2} reflection symmetry. Starting from ν Majorana cones on the surface, we show that the semion-fermion topological order emerges for...

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Bibliographic Details
Published inPhysical review letters Vol. 120; no. 3; p. 036801
Main Author Cheng, Meng
Format Journal Article
LanguageEnglish
Published United States 16.01.2018
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Summary:We construct microscopic Hamiltonians for symmetry-preserving topologically ordered states on the surface of topological crystalline superconductors, protected by a Z_{2} reflection symmetry. Starting from ν Majorana cones on the surface, we show that the semion-fermion topological order emerges for ν=2, and more generally, SO(ν)_{ν} topological order for all ν≥2 and Sp(n)_{n} for ν=2n when n≥2.
ISSN:1079-7114
DOI:10.1103/physrevlett.120.036801