Majorana modes in multiband superconducting quantum wires
K. V. Samokhin
DOI 10.1103/PhysRevB.101.094502 · Physical Review B
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Abstract
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.
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