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arXiv:1707.02079 · Physical Review Letters

Microscopic Theory of Surface Topological Order for Topological Crystalline Superconductors

Meng Cheng

Published Jan 16, 2018• 26 citations
arXivHTMLPDF

Abstract

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 $\ensuremath{\nu}$ Majorana cones on the surface, we show that the semion-fermion topological order emerges for $\ensuremath{\nu}=2$, and more generally, $\mathrm{SO}(\ensuremath{\nu}{)}_{\ensuremath{\nu}}$ topological order for all $\ensuremath{\nu}\ensuremath{\ge}2$ and $\mathrm{Sp}(n{)}_{n}$ for $\ensuremath{\nu}=2n$ when $n\ensuremath{\ge}2$.

DOI
10.1103/physrevlett.120.036801

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