Ultrametric probe of the spin-glass state in a field
Disordered Systems and Neural Networks
2012-11-07 v4
Abstract
We study the ultrametric structure of phase space of one-dimensional Ising spin glasses with random power-law interaction in an external random field. Although in zero field the model in both the mean-field and non-mean-field universality classes shows an ultrametric signature [Phys. Rev. Lett. 102, 037207 (2009)], when a field is applied ultrametricity seems only present in the mean-field regime. The results for the non-mean field case in an external field agree with data for spin glasses studied within the Migdal-Kadanoff approximation. Our results therefore suggest that the spin-glass state might be fragile to external fields below the upper critical dimension.
Keywords
Cite
@article{arxiv.1205.4200,
title = {Ultrametric probe of the spin-glass state in a field},
author = {Helmut G. Katzgraber and Thomas Jorg and Florent Krzakala and Alexander K. Hartmann},
journal= {arXiv preprint arXiv:1205.4200},
year = {2012}
}
Comments
5 pages, 4 figures, 1 table