Graphene Andreev Billiards
Mesoscale and Nanoscale Physics
2009-08-24 v2
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.
Cite
@article{arxiv.0902.2955,
title = {Graphene Andreev Billiards},
author = {J. Cserti and I. Hagymasi and A. Kormanyos},
journal= {arXiv preprint arXiv:0902.2955},
year = {2009}
}
Comments
5 pages, 3 figures