Excitation gap of a graphene channel with superconducting boundaries

Details Excitation gap of a graphene channel with superconducting boundaries Excitation gap of a graphene channel with superconducting boundaries

2006-09-25

arxiv.org/abs/cond-mat/0609623v1

Phys.Rev.B 75, 045417 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 10 figures

Scientific paper

10.1103/PhysRevB.75.045417

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.

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