On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle

TL;DR

This paper explores how Lorentz-violating effects induce a Rashba-type coupling in a Landau system for a neutral particle, revealing new interactions and setting bounds on symmetry-breaking parameters.

Contribution

It introduces a novel Lorentz symmetry violation framework that produces Rashba, Zeeman, and Darwin analogues in a Landau system for neutral particles.

Findings

Lorentz violation induces Rashba-like coupling in the system.

The system's behavior constrains Lorentz symmetry breaking parameters.

Analogies with quantum rings help establish upper bounds on symmetry violation.

Abstract

We study a possible scenario of the Lorentz symmetry violation background that allows us to build an analogue of the Landau system for a nonrelativistic Dirac neutral particle interacting with a field configuration of crossed electric and magnetic fields. We also discuss the arising of analogues of the Rashba coupling, the Zeeman term and the Darwin term from the Lorentz symmetry breaking effects, and the influence of these terms on the analogue of the Landau system confined to a two-dimensional quantum ring. Finally, we show that this analogy with the Landau system confined to a two-dimensional quantum ring allows us to establish an upper bound for the Lorentz symmetry breaking parameters.