Graphene Andreev Billiards

Hagymasi, Imre and Kormanyos, Andor and Cserti, József (2009) Graphene Andreev Billiards. Physical review B, 80. 073404. ISSN 1098-0121

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 retroreflection 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 retroreflection and specular Andreev reflection.