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

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 $μ$ in the presence of crossed inhomogeneous magnetic and electric fields. We predict the appearance of Hall conductivity $σ_H=(e^2/h)ν(μ)$ with the Landau filling factor $ν(μ)\propto μ^2$. The estimates of the model parameters suggest quite an optimistic possibility to experimentally verify this prediction in optically trapped clouds of atomic BEC.

7 pages, no figure, accepted in Physics Letters A