The Impact of Lorentz Violation on the Klein Tunneling Effect

Abstract

We discuss the impact of a tiny Lorentz-violating $b^{\mu }$ term on the one dimensional motion of a Dirac particle scattering on a rectangular barrier. We assume the experiment is performed in a particular inertial frame, where the components of $b^{\mu }$ are assumed constants. The results show that Lorentz-violation modification to the transmission rate depends on the observer Lorentz nature of $b^{\mu }$. For a spacelike or lightlike $b^{\mu }$ the induced resonant frequency shift depends on the polarization, while for timelike $b^{\mu }$ there is essentially no modification.

arXiv comment3 pages, 1 figures, Presented at the Seventh Meeting on CPT and Lorentz Symmetry, Bloomington, Indiana, June 20-24, 2016

References in corpus (37)

• Evidence for oscillation of atmospheric neutrinos
• Chiral tunneling and the Klein paradox in graphene
• Lorentz-Violating Extension of the Standard Model
• Observation of electron-antineutrino disappearance at Daya Bay
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• Gravity, Lorentz Violation, and the Standard Model
• Quantum interference and Klein tunneling in graphene heterojunctions
• Modern tests of Lorentz invariance
• Noncommutative Field Theory and Lorentz Violation
• Signals for Lorentz Violation in Electrodynamics
• Quantum simulation of the Dirac equation
• Stability, Causality, and Lorentz and CPT Violation
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Hawking Radiation and Black Hole Thermodynamics
• Tests of Lorentz invariance: a 2013 update
• Matter-gravity couplings and Lorentz violation
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Neutrinos with Lorentz-violating operators of arbitrary dimension
• Fermions with Lorentz-violating operators of arbitrary dimension
• History and Physics of the Klein Paradox
• CPT and Lorentz Tests in Penning Traps
• Nonrelativistic Quantum Hamiltonian for Lorentz Violation
• What Do We Know About Lorentz Invariance?
• Quantum simulation of the Klein paradox with trapped ions
• Lorentz-violating electrodynamics and the cosmic microwave background
• When radiative corrections are finite but undetermined
• Astrophysical Tests of Lorentz and CPT Violation with Photons
• Dirac theory within the Standard-Model Extension
• Redefining Spinors in Lorentz-Violating QED
• Constraints on relativity violations from gamma-ray bursts
• Chiral Tunnelling in Twisted Graphene Bilayer
• Constraints on Lorentz invariance violation from gamma-ray burst GRB090510
• On the effective Dirac dynamics of ultracold atoms in bichromatic optical lattices
• Velocity in Lorentz-Violating Fermion Theories

Cited by in corpus (5)

• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• The CPT-violating effects on neutrons' gravitational bound state
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector