Majorana modes in multiband superconducting quantum wires

We calculate analytically the spectrum of the Andreev bound states in a half-infinite superconducting wire with an arbitrary number of bands crossing the chemical potential. The normal state of the wire is assumed to have an antiunitary symmetry A (time reversal or its combination with a crystallogr...

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Bibliographic Details
Published in:Physical review. B 2020-03, Vol.101 (9), p.1, Article 094502
Main Author: Samokhin, K. V.
Format: Article
Language:English
Subjects:
Chemical potential
Crystallography
Order parameters
Quantum wires
Superconductivity
Symmetry
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Summary:We calculate analytically the spectrum of the Andreev bound states in a half-infinite superconducting wire with an arbitrary number of bands crossing the chemical potential. The normal state of the wire is assumed to have an antiunitary symmetry A (time reversal or its combination with a crystallographic point-group operation) with A2=−1 or +1. This symmetry may be broken by the superconducting order parameter and/or the boundary scattering. We present a model-independent proof of the existence of one Majorana mode near the end of the wire with an odd number of bands.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.101.094502