Excitation gap of a graphene channel with superconducting boundaries

Abstract

We calculate the density of states of electron-hole excitations in a superconductor/normal-metal/superconductor (SNS) junction in graphene, in the long-junction regime that the superconducting gap is much larger than the Thouless energy. If the normal region is undoped, the excitation spectrum consists of neutral modes that propagate along the boundaries - transporting energy but no charge. These ``Andreev modes'' are a coherent superposition of electron states from the conduction band and hole states from the valence band, coupled by specular Andreev reflection at the superconductor. The lowest Andreev mode has an excitation gap, which depends on the superconducting phase difference across the SNS graphene channel. At high doping the excitation gap vanishes and the usual gapless density of states of Andreev levels is recovered. We use our results to calculate the superconducting phase dependence of the thermal conductance of the graphene channel.

8 pages, 10 figures

References in corpus (4)

• Specular Andreev reflection in graphene
• Josephson effect in ballistic graphene
• Tunneling conductance of graphene NIS junctions
• Thermopower induced by a supercurrent in superconductor-normal-metal structures

Cited by in corpus (10)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Andreev reflection and Klein tunneling in graphene
• Phase Coherent Transport of Charges in Graphene Quantum Billiard
• Charge accumulation at the boundaries of a graphene strip induced by a gate voltage: Electrostatic approach
• Andreev reflection in graphene nanoribbons
• Microscopic theory of the proximity effect in superconductor-graphene nanostructures
• Andreev reflection in bilayer graphene
• Heat transport by Dirac fermions in normal/superconducting graphene junctions
• Pure spin current in graphene NS structures
• Graphene Andreev Billiards