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CONDENSED MATTER

Topological properties of superconducting junctions

D. I. Pikulin^a, Y. V. Nazarov<sup>b

a</sup> Leiden University
^b Delft University of Technology

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.

Received: 21.09.2011

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2011, 94:9, 693–697

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