Characterizing Topological Order in Superconducting Systems

Abstract

Two established frameworks account for the onset of a gap in a superconducting system: one is based on spontaneous symmetry breaking via the Anderson-Higgs-Kibble mechanism, and the other is based on the recently developed paradigm of topological order. We show that, on manifolds with non trivial topology, both mechanisms yield a degeneracy of the ground state arising only from the {\it incompressibility} induced by the presence of a gap. We compute the topological entanglement entropy of a topological superconductor and argue that its measure allows to {\it distinguish} between the two mechanisms of generating a superconducting gap.

8 pages, no figures. To appear in Phys. Rev. B

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Cited by in corpus (1)

• Localization, $\mathcal{P}\mathcal{T}$-Symmetry Breaking and Topological Transitions in non-Hermitian Quasicrystals