No spin glass phase in ferromagnetic random-field random-temperature scalar Ginzburg-Landau model
Disordered Systems and Neural Networks
2011-01-06 v1
Abstract
Krzakala, Ricci-Tersenghi and Zdeborova have shown recently that the random field Ising model with non-negative interactions and arbitrary external magnetic field on an arbitrary lattice does not have a static spin glass phase. In this paper we generalize the proof to a soft scalar spin version of the Ising model: the Ginzburg-Landau model with random magnetic field and random temperature-parameter. We do so by proving that the spin glass susceptibility cannot diverge unless the ferromagnetic susceptibility does.
Keywords
Cite
@article{arxiv.1008.4497,
title = {No spin glass phase in ferromagnetic random-field random-temperature scalar Ginzburg-Landau model},
author = {Florent Krzakala and Federico Ricci-Tersenghi and David Sherrington and Lenka Zdeborová},
journal= {arXiv preprint arXiv:1008.4497},
year = {2011}
}
Comments
9 pages