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arXiv · 1103.0780

Topological properties of superconducting junctions

D. I. Pikulin·Yuli V. Nazarov
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Abstract

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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D. I. Pikulin, Yuli V. Nazarov. 2011-03-03. Topological properties of superconducting junctions. https://doi.org/10.1134/s0021364011210090

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