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

TL;DR

This paper explores how Lorentz-symmetry violation influences quantum systems, deriving an analogy to Landau levels and quantum Hall conductivity within the Standard Model Extension framework.

Contribution

It introduces a novel analogy of quantum Hall effects arising from Lorentz-symmetry violation in low-energy quantum systems.

Findings

Derived an analogy of Landau levels under Lorentz violation

Calculated quantum Hall conductivity contribution in this context

Provides insights into unconventional physics effects on quantum phenomena

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.