Noncentrosymmetric superconductors in one dimension

Abstract

We study the fermionic boundary modes (Andreev bound states) in a time-reversal invariant one-dimensional superconductor. In the presence of a substrate, spatial inversion symmetry is broken and the electronic properties are strongly affected by an antisymmetric spin-orbit coupling. We assume an arbitrary even number of nondegenerate bands crossing the Fermi level. We show that there is only one possible pairing symmetry in one dimension, an analog of s-wave pairing. The zero-energy Andreev bound states are present if the sign of the gap function in an odd number of bands is different from all other bands.

arXiv comment8 pages, 2 figures; abstract corrected

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Cited by in corpus (5)

• Superconductivity in quantum wires: A symmetry analysis
• Majorana modes in multiband superconducting quantum wires
• Ever-present Majorana bound state in a generic one-dimensional superconductor with odd number of Fermi surfaces
• Stability of the boundary zero modes in one-dimensional topological superconductors
• Dominant Excitonic Superconductivity in a Three-component Hubbard Chain