Majorana modes in multiband superconducting quantum wires

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 A^2=-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.

9 pages, 2 figures

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Cited by in corpus (5)

• Topology of critical chiral phases: multiband insulators and superconductors
• Edge states, Majorana fermions and topological order in superconducting wires with generalized boundary conditions
• Resilience of topological superconductivity under particle current
• A topological flux trap: Majorana bound states at screw dislocations
• Ever-present Majorana bound state in a generic one-dimensional superconductor with odd number of Fermi surfaces