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Graphene Andreev billiards

机译:石墨烯安德烈耶夫台球

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摘要

We studied the energy levels of graphene-bascd Andreev billiards consisting of a superconductor region on top of a monolayer graphene sheet. For the case of Andreev retrorerlection 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 semi-classically obtained spectrum agree very well both for the case of Andreev retrorerlection and specular Andreev reflection.
机译:我们研究了基于石墨烯的安德列夫台球的能级,该台球由单层石墨烯片顶部的超导体区域组成。对于安德列夫逆行的情况,我们证明了基于石墨烯的安德列夫台球可以映射到具有相同几何形状的普通金属超导台球。我们还导出了基于石墨烯的Andreev台球的半经典量化规则。对于安德列夫反演和镜面安德列夫反射,精确和半经典光谱都非常吻合。

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