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 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 distinguish between the two mechanisms of generating a superconducting gap.

Characterizing Topological Order in Superconducting Systems.

DIAMANTINI, MARIA CRISTINA;SODANO, Pasquale
2010-01-01

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 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 distinguish between the two mechanisms of generating a superconducting gap.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/168638
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