Klein paradox in chaotic Dirac billiards

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