Proximity induced interface bound states in superconductor-graphene junctions

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.

v1: 10 pages, 4 figures. v2: 4 pages, 4 figures. Two column format, minor grammatical changes, updated references

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• Subgap states in two dimensional spectroscopy of unconventional superconductors using graphene
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• Transport and spectral properties of magic angle twisted bilayer graphene junctions based on local orbital models
• Two-dimensional topological insulators in quantizing magnetic fields
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• Characteristic energies, transition temperatures, and switching effects in clean SNS graphene nanostructures
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• Disordered graphene Josephson junctions
• Photoabsorption spectra and the X-ray edge problem in graphene
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• A Green's function approach to Topological Insulator junctions with magnetic and superconducting regions
• Microscopic Green's function approach for generalized Dirac Hamiltonians
• Superconductivity in Weyl semimetals in a strong pseudomagnetic field
• Coupling of Klein-Andreev Resonant States in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$-graphene-Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$ Devices
• Long-range Cooper pair splitting by chiral Majorana edge states