Eur. Phys. J. B (2016) 89: 148
https://doi.org/10.1140/epjb/e2016-70229-9

Regular Article

Geometry effects in the magnetoconductance of normal and Andreev Sinai billiards

Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, UK

^a e-mail: nikolaos.fytas@coventry.ac.uk

Received: 14 April 2016
Published online: 13 June 2016

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.