Proximity induced interface bound states in superconductor-graphene junctions

TL;DR

This paper demonstrates the formation of interface bound states at graphene-superconductor junctions, influenced by edge type and supercurrent, which could aid in detecting crossed Andreev processes.

Contribution

It provides analytical expressions for interface bound states in graphene-superconductor junctions considering edge types and supercurrent effects.

Findings

Interface bound states are formed at graphene-superconductor junctions.

States are sensitive to supercurrent flowing in the superconductor.

States enable long-range superconducting correlations in graphene.

Abstract

We show that interface bound states are formed at isolated graphene-superconductor junctions. These states arise due to the interplay of virtual Andreev and normal reflections taking place at these interfaces. Simple analytical expressions for their dispersion are obtained considering interfaces formed along armchair or zig-zag edges. It is shown that the states are sensitive to a supercurrent flowing on the superconducting electrode. The states provide long range superconducting correlations on the graphene layer which may be exploited for the detection of crossed Andreev processes.