An Analogy of the Quantum Hall Condutivity in a Lorentz-symmetry Violation Setup

Abstract

We investigated some influences of unconventional physics, such Lorentz-symmetry violation, for quantum mechanical systems. In this context, we calculated a important contribution for Standard Model Extension. In the non-relativistic limit, we obtained a analogy of the Landau levels and the quantum Hall conductivity related to this contribution for low energy systems.

12 pages, no figures

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• Radiative generation of the CPT-even gauge term of the SME from a dimension-five nonminimal coupling term
• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
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• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• Quantum Holonomies based on the Lorentz-violating tensor background
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• On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle
• Rotating effects on the Landau quantization for an atom with a magnetic quadrupole moment
• Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
• On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
• Lorentz symmetry breaking effects on relativistic EPR correlations
• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
• A semiclassical treatment of the interaction of non-uniform electric fields with the electric quadrupole moment of a neutral particle
• Aspects of Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions
• Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
• Quantum effects on an atom with a magnetic quadrupole moment in a region with a time-dependent magnetic field
• Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• Induction of the Lorentz-violating effective actions in quantum electrodynamics
• On one-loop corrections in the non-minimal dimension-five extension of QED