Zero temperature phase diagram of finite connectivity spin glasses
Disordered Systems and Neural Networks
2009-11-10 v3 Statistical Mechanics
Abstract
The zero temperature phase diagram of spin glasses on finite connectivity graphs is investigated, with or without magnetic field and/or ferromagnetic bias, for mean field (using the cavity method) and Edwards-Anderson (using numerical ground states computations) models. In the mean field case we show that the phase diagram is complex and compute the equivalent of the zero temperature de Almeida-Thouless line. In the 3d model however, we found a trivial phase diagram. This paper present new analytical results as well as a rapid review of numerical works on ground states.
Cite
@article{arxiv.cond-mat/0409449,
title = {Zero temperature phase diagram of finite connectivity spin glasses},
author = {Florent Krzakala},
journal= {arXiv preprint arXiv:cond-mat/0409449},
year = {2009}
}
Comments
4 pages, 4 figures, proceeding of "Statistical Physics of Disordered Systems and Its Applications", Hayama (Japan), July 2004