Fermionic boundary modes in two-dimensional noncentrosymmetric superconductors

Abstract

We calculate the spectrum of the Andreev boundary modes in a two-dimensional superconductor formed at an interface between two different non-superconducting materials, e.g. insulating oxides. Inversion symmetry is absent in this system, and both the electron band structure and the superconducting pairing are strongly affected by the spin-orbit coupling of the Rashba type. We consider isotropic s-wave pairing states, both with and without time-reversal symmetry breaking, as well as various d-wave states. In all cases, there exist subgap Andreev boundary states, whose properties, in particular, the number and location of the zero-energy modes, qualitatively depend on the gap symmetry and the spin-orbit coupling strength.

14 pages, 14 figures; v3 typos corrected, accepted in PRB

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• Topological d-wave superconductivity in two dimensions
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Symmetry conditions of a nodal superconductor for generating robust flat-band Andreev bound states at its dirty surface
• Noncentrosymmetric superconductors in one dimension
• Superconductivity in quantum wires: A symmetry analysis
• Majorana modes in multiband superconducting quantum wires