Characterizing Topological Order in Superconducting Systems

Details Characterizing Topological Order in Superconducting Systems Characterizing Topological Order in Superconducting Systems

2010-06-04

arxiv.org/abs/1006.0895v3

Phys.Rev.B82:144515,2010

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevB.82.144515

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.

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