3 years ago

Microscopic Theory of Surface Topological Order for Topological Crystalline Superconductors.

Meng Cheng

We construct microscopic Hamiltonians for symmetry-preserving topologically ordered states on the surface of topological crystalline superconductors, protected by a $\mathbb{Z}_2$ reflection symmetry. Starting from $\nu$ Majorana cones on the surface, we show that the semion-fermion topological order emerges for $\nu=2$, and more generally, $\mathrm{SO}(\nu)_\nu$ topological order for all $\nu\geq 2$ and $\mathrm{Sp}(n)_n$ for $\nu=2n$.

Publisher URL: http://arxiv.org/abs/1707.02079

DOI: arXiv:1707.02079v3

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