Andreev reflection anomaly in superconducting Weyl semimetal junctions

Abstract

We investigate the transport properties of the interface between normal and superconducting Weyl semimetals. We find that the Fermi arcs on the junction interface consist of two types of arc fragments: localized Fermi arcs, composed of states entirely confined to the interface, and resonant Fermi arcs, formed by states partially localized at the interface. The existence of these interface resonant states arises from the interaction between interface Fermi arcs and superconductivity. These resonant states induce an Andreev reflection anomaly, where Andreev reflection is significantly enhanced and its probability reaches unity at a specific momentum space point where the resonant states merge into the bulk continuum. The Andreev reflection anomaly generates an additional supercurrent, which becomes most pronounced when the incident Fermi pocket is tangent to the transmissive one.

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