Odd-frequency superconducting pairing in topological insulators

Abstract

We discuss the appearance of odd-frequency spin-triplet s-wave superconductivity, first proposed by Berezinskii [{\it JETP} {\bf 20}, 287 (1974)], on the surface of a topological insulator proximity coupled to a conventional spin-singlet s-wave superconductor. Using both analytical and numerical methods we show that this disorder robust odd-frequency state is present whenever there is an in-surface gradient in the proximity induced gap, including superconductor-normal state (SN) junctions. The time-independent order parameter for the odd-frequency superconductor is proportional to the in-surface gap gradient. The induced odd-frequency component does not produce any low-energy states.

6 pages, 5 figures. v2 contains minor changes + supplementary material

References in corpus (7)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Theory of the proximity effect in junctions with unconventional superconductors
• Proximity effect at the superconductor - topological insulator interface
• Odd-frequency pairing in normal metal/superconductor junctions
• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Odd Triplet Pairing in clean Superconductor/Ferromagnet heterostructures
• Josephson and proximity effects on the surface of a topological insulator

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