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Effective field theory for a p-wave superconductor in the subgap regime

T. H. Hansson, T. Kvorning, V. P. Nair, G. J. Sreejith

DOI 10.1103/PhysRevB.91.075116 · Physical Review B

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Abstract

We construct an effective field theory for the 2d spinless p-wave paired superconductor that faithfully describes the topological properties of the bulk state, and also provides a model for the subgap states at vortex cores and edges. In particular, it captures the topologically protected zero modes and has the correct ground-state degeneracy on the torus. We also show that our effective field theory becomes a topological field theory in a well defined scaling limit and that the vortices have the expected non-Abelian braiding statistics.

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