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 $\mu$ 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.

7 pages, no figure, accepted in Physics Letters A

References in corpus (4)

• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Noncommutative Quantum Hall Effect and Aharonov-Bohm Effect
• Landau levels of cold atoms in non-Abelian gauge fields
• Origin of nonlinear contribution to the shift of the critical temperature in atomic Bose-Einstein condensates

Cited by in corpus (1)

• Quantum Hall-like effect for neutral particles with magnetic dipole moments in a quantum dot