2014arXiv (Cornell University)Open access

Periodic orbits of perturbed Andreev billiard tables

Robert G. Niemeyer

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Abstract

We formally define Andreev reflection in the boundary of a planar billiard table and show that the flow is never minimal in a polygonal billiard table with a subset exhibiting Andreev reflection. We discuss the effects of particular perturbations on the electron-hole dynamics in an idealized 2D model of a nanowire lying upon a superconductor.

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What this paper is about

We formally define Andreev reflection in the boundary of a planar billiard table and show that the flow is never minimal in a polygonal billiard table with a subset exhibiting Andreev reflection. We discuss the effects of particular perturbations on the electron-hole dynamics in an idealized 2D model of a nanowire lying upon a superconductor.

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Available abstract

We formally define Andreev reflection in the boundary of a planar billiard table and show that the flow is never minimal in a polygonal billiard table with a subset exhibiting Andreev reflection. We discuss the effects of particular perturbations on the electron-hole dynamics in an idealized 2D model of a nanowire lying upon a superconductor.

Key concepts: Dynamical billiards, Andreev reflection, Planar, Physics, Reflection (computer programming), Boundary (topology), Table (database), Superconductivity

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