Eur. Phys. J. B (2016) 89: 194
https://doi.org/10.1140/epjb/e2016-70147-x

Regular Article

Time-reversal symmetry breaking and decoherence in chaotic Dirac billiards

¹ Departamento de Física, Universidade Federal Rural de Pernambuco, 52171-900 Recife-PE, Brazil
² Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, Paraíba, Brazil

^a e-mail: jorgegabrielramos@gmail.com

Received: 7 March 2016
Received in final form: 9 May 2016
Published online: 12 September 2016

Abstract

In this work, we perform a statistical study on Dirac Billiards in the extreme quantum limit (a single open channel on the leads). Our numerical analysis uses a large ensemble of random matrices and demonstrates the preponderant role of dephasing mechanisms in such chaotic billiards. Physical implementations of these billiards range from quantum dots of graphene to topological insulators structures. We show, in particular, that the role of finite crossover fields between the universal symmetries quickly leaves the conductance to the asymptotic limit of unitary ensembles. Furthermore, we show that the dephasing mechanisms strikingly lead Dirac billiards from the extreme quantum regime to the semiclassical Gaussian regime.