Localization and chaos in a spin glass model with random fields: Mapping to the localization problem in a Bethe lattice with a correlated disorder
Abstract
The analytical solution of a many-body localization problem in a quantum Sherrington-Kirkpatrick spin glass model in a random longitudinal field is proposed matching the problem with a model of Anderson localization in a Bethe lattice. The localization transition is dramatically sensitive to the relationship between interspin interaction and random field revealing different regimes in which the interaction can either suppress or enhance the delocalization. The localization is enhanced by decreasing the temperature and the localization transition shows a remarkable universality in a spin glass phase. The observed trends should be qualitatively relevant for other systems showing many-body localization.
Keywords
Cite
@article{arxiv.1610.00811,
title = {Localization and chaos in a spin glass model with random fields: Mapping to the localization problem in a Bethe lattice with a correlated disorder},
author = {Alexander L. Burin},
journal= {arXiv preprint arXiv:1610.00811},
year = {2017}
}
Comments
15 pages, 5 figures, Revised version, accepted by Annalen der Physik for publication in the Special Issue dedicated to Many Body Localization