Geometry effects in the magnetoconductance of normal and Andreev Sinai billiards

TL;DR

This paper investigates how geometry influences magnetoconductance in normal and Andreev Sinai billiards, revealing the impact of magnetic field strength on transport properties through classical trajectory analysis.

Contribution

It introduces a detailed classical analysis of magnetoconductance in various Sinai billiard geometries, including Andreev effects and critical field determination.

Findings

Magnetoconductance varies significantly with geometry and magnetic field.

Identification of a critical magnetic field where hole current ceases in Andreev billiards.

Transport properties depend on classical trajectories shaped by geometry and field strength.

Abstract

We study the transport properties of low-energy (quasi)particles ballistically traversing normal and Andreev two-dimensional open cavities with a Sinai-billiard shape. We consider four different geometrical setups and focus on the dependence of transport on the strength of an applied magnetic field. By solving the classical equations of motion for each setup we calculate the magnetoconductance in terms of transmission and reflection coefficients for both the normal and Andreev versions of the billiard, calculating in the latter the critical field value above which the outgoing current of holes becomes zero.