Mean-field theory for confinement transitions and magnetization plateaux in spin ice
arXiv:1702.05976 · doi:10.1088/1751-8121/aa5bc6
Abstract
We study phase transitions in classical spin ice at nonzero magnetization, by introducing a mean-field theory designed to capture the interplay between confinement and topological constraints. The method is applied to a model of spin ice in an applied magnetic field along the [100] crystallographic direction and yields a phase diagram containing the Coulomb phase as well as a set of magnetization plateaux. We argue that the lobe structure of the phase diagram, strongly reminiscent of the Bose-Hubbard model, is generic to Coulomb spin liquids.
22 pages (single column), 5 figures