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arXiv · 0902.2955

Graphene Andreev Billiards

J. Cserti·I. Hagymasi·A. Kormanyos
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Abstract

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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J. Cserti, I. Hagymasi, A. Kormanyos. 2009-04-23. Graphene Andreev Billiards. https://doi.org/10.1103/physrevb.80.073404

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