English

Klein Paradox in Chaotic Dirac Billiards

Mesoscale and Nanoscale Physics 2019-04-02 v1 Statistical Mechanics High Energy Physics - Theory Quantum Physics

Abstract

We investigate the Schr\"odinger (non-relativistic) and the Dirac (``relativistic") billiards in the universal regime. The study is based on a non-ideal quantum resonant scattering numerical simulation. We show universal results that reveal anomalous behavior on the conductance, on the shot-noise power and on the respective eigenvalues distributions. In particular, we demonstrate the Klein's paradox in the graphene and tunable suppression/amplification transitions on the typical observables of the quantum dots.

Keywords

Cite

@article{arxiv.1904.00855,
  title  = {Klein Paradox in Chaotic Dirac Billiards},
  author = {A. F. M. Rodrigues da Silva and M. S. M. Barros and A. J. Nascimento Júnior and A. L. R. Barbosa and J. G. G. S. Ramos},
  journal= {arXiv preprint arXiv:1904.00855},
  year   = {2019}
}

Comments

9 pages, 18 figures, To appear in Annals of Physics

R2 v1 2026-06-23T08:25:26.464Z