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Time-reversal symmetry breaking and decoherence in chaotic Dirac billiards

Author

Listed:
  • Agnaldo J. Nascimento Júnior

    (Departamento de Física, Universidade Federal Rural de Pernambuco)

  • Marilia S.M. Barros

    (Departamento de Física, Universidade Federal da Paraíba)

  • Jorge G.G.S. Ramos

    (Departamento de Física, Universidade Federal da Paraíba)

  • Anderson L.R. Barbosa

    (Departamento de Física, Universidade Federal Rural de Pernambuco)

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.

Suggested Citation

  • Agnaldo J. Nascimento Júnior & Marilia S.M. Barros & Jorge G.G.S. Ramos & Anderson L.R. Barbosa, 2016. "Time-reversal symmetry breaking and decoherence in chaotic Dirac billiards," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(9), pages 1-6, September.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:9:d:10.1140_epjb_e2016-70147-x
    DOI: 10.1140/epjb/e2016-70147-x
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    Keywords

    Mesoscopic and Nanoscale Systems;

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