Macroscopic transports in a rotational system with an electromagnetic field

TL;DR

This paper investigates macroscopic transport phenomena in a rotating system under an external electromagnetic field, deriving expressions for chiral density and currents using Landau level approximation and Lorentz transformations.

Contribution

It introduces a novel approach to derive transport properties in a rotating electromagnetic system using Landau level approximation and Lorentz covariance.

Findings

Derived expressions for chiral density and currents in the system.

Identified the pseudo gauge field effect as the origin of anomalous electric current.

Unified results with magnetovorticity effects in a covariant framework.

Abstract

In this work, we explore macroscopic transport phenomena associated with a rotational system in the presence of an external orthogonal electromagnetic field. Simply based on the lowest Landau level approximation, we derive nontrivial expressions for chiral density and various currents consistently by adopting small angular velocity expansion or Kubo formula. While the generation of anomalous electric current is due to the pseudo gauge field effect of the spin-rotation coupling, the chiral density and current can be simply explained with the help of Lorentz boosts. Finally, Lorentz covariant forms can be obtained by unifying our results and the magnetovorticity effect.