Klein paradox in chaotic Dirac billiards

Journal Article · Sat Jun 15 04:00:00 EDT 2019 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2019.03.011· OSTI ID:22848504

Rodrigues da Silva, A. F.M.; Barros, M. S.M. ^[1]; Nascimento, A. J. ^[2]; Barbosa, A. L.R. ^[3]; Ramos, J. G.G.S., ^[1]

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1. Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, Paraíba (Brazil)
2. Departamento de Engenharia Elétrica, Universiade Federal de Pernambuco, 50670-901 Recife, Pernambuco (Brazil)
3. Departamento de Física, Universidade Federal Rural de Pernambuco, 52171-900 Recife, Pernambuco (Brazil)

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.

• OSTI ID: 22848504
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 405; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
COMPUTERIZED SIMULATION
DIRAC APPROXIMATION
DISTRIBUTION
EIGENVALUES
GRAPHENE
QUANTUM DOTS
QUANTUM MECHANICS
RELATIVISTIC RANGE
RESONANCE SCATTERING
SCHROEDINGER EQUATION