Topological properties of superconducting junctions

Details Topological properties of superconducting junctions Topological properties of superconducting junctions

2011-03-03

arxiv.org/abs/1103.0780v1

JETP Letters,Volume 94, Number 9, 693-697 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1134/S0021364011210090

Motivated by recent developments in the field of one-dimensional topological superconductors, we investigate the topological properties of s-matrix of generic superconducting junctions where dimension should not play any role. We argue that for a finite junction the s-matrix is always topologically trivial. We resolve an apparent contradiction with the previous results by taking into account the low-energy resonant poles of s-matrix. Thus no common topological transition occur in a finite junction. We reveal a transition of a different kind that concerns the configuration of the resonant poles.

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