Graphene Andreev Billiards

Details Graphene Andreev Billiards Graphene Andreev Billiards

2009-02-17

arxiv.org/abs/0902.2955v2

Phys. Rev. B 80, 073404 (2009) [4 pages]

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.80.073404

We studied the energy levels of graphene based Andreev billiards consisting of a superconductor region on top of a monolayer graphene sheet. For the case of Andreev retro-reflection we show that the graphene based Andreev billiard can be mapped to the normal metal-superconducting billiards with the same geometry. We also derived a semiclassical quantization rule in graphene based Andreev billiards. The exact and the semiclassically obtained spectrum agree very well both for the case of Andreev retro-reflection and specular Andreev reflection.

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