Analogue of the quantum Hall effect for neutral particles with magnetic dipole moment

TL;DR

This paper proposes a theoretical analog of the quantum Hall effect for neutral particles with magnetic moments in crossed fields, predicting measurable Hall conductivity in atomic BEC systems.

Contribution

It introduces a novel quantum Hall analog for neutral magnetic particles and predicts a specific Hall conductivity dependent on magnetic moment, suggesting experimental verification.

Findings

Hall conductivity proportional to magnetic moment squared

Prediction of quantum Hall-like behavior in neutral atomic gases

Feasibility of experimental observation in BEC systems

Abstract

In this paper we investigate a possibility for the existence of an analog of the Quantum Hall Effect for neutral particles with a permanent magnetic moment $\mu$ in the presence of crossed inhomogeneous magnetic and electric fields. We predict the appearance of Hall conductivity $\sigma_H=(e^2/h)\nu (\mu)$ with the Landau filling factor $\nu (\mu)\propto \mu ^2$. The estimates of the model parameters suggest quite an optimistic possibility to experimentally verify this prediction in optically trapped clouds of atomic BEC.