Klein Paradox in Chaotic Dirac Billiards
arXiv:1904.00855 · doi:10.1016/j.aop.2019.03.011
Abstract
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 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.
9 pages, 18 figures, To appear in Annals of Physics
References in corpus (7)
- Chiral tunneling and the Klein paradox in graphene
- Symmetry Classes in Graphene Quantum Dots: Universal Spectral Statistics, Weak Localization, and Conductance Fluctuations
- Electron counting in quantum dots
- Onsager Relations in Coupled Electric, Thermoelectric and Spin Transport: The Ten-Fold Way
- Distributions of Conductance and Shot Noise and Associated Phase Transitions
- Random matrix theory of quantum transport in chaotic cavities with non-ideal leads
- Time-Reversal Symmetry Breaking and Decoherence in Chaotic Dirac Billiards