Microscopic Theory of Surface Topological Order for Topological Crystalline Superconductors.

Abstract

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.