Klein paradox in chaotic Dirac billiards

We investigate the Schrödinger (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 behaviour on the conductance, on the shot-noise powe...

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Bibliographic Details
Published in:	Annals of physics Vol. 405; pp. 256 - 273
Main Authors:	Rodrigues da Silva, A.F.M., Barros, M.S.M., Nascimento, A.J., Barbosa, A.L.R., Ramos, J.G.G.S.
Format:	Journal Article
Language:	English
Published:	United States Elsevier Inc 01-06-2019
Subjects:	CHAOS THEORY CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS COMPUTERIZED SIMULATION DIRAC APPROXIMATION DISTRIBUTION EIGENVALUES Electronic transport GRAPHENE Klein paradoxv QUANTUM DOTS Quantum localization QUANTUM MECHANICS Random matrix theory Relativistic quantum mechanics RELATIVISTIC RANGE RESONANCE SCATTERING SCHROEDINGER EQUATION Relativistic quantum mechanics Random matrix theory Electronic transport Quantum localization Klein paradoxv
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Summary:	We investigate the Schrödinger (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 behaviour 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.
ISSN:	0003-4916 1096-035X
DOI:	10.1016/j.aop.2019.03.011