Elusive Glassy Phase in the Random Field Ising Model
Disordered Systems and Neural Networks
2010-05-24 v2 Statistical Mechanics
Abstract
We consider the random field Ising model and show rigorously that the spin glass susceptibility at equilibrium is always bounded by the ferromagnetic susceptibility, and therefore that no spin glass phase can be present at equilibrium out of the ferromagnet critical line. When the magnetization is, however, fixed to values smaller than the equilibrium one, a glassy phase can exist, as we show explicitly on the Bethe lattice.
Cite
@article{arxiv.0911.1551,
title = {Elusive Glassy Phase in the Random Field Ising Model},
author = {Florent Krzakala and Federico Ricci-Tersenghi and Lenka Zdeborová},
journal= {arXiv preprint arXiv:0911.1551},
year = {2010}
}
Comments
4 pages, 2 figures