Infinite disorder and correlation fixed point in the Potts model with correlated disorder
Statistical Mechanics
2023-10-26 v1
Abstract
Recent Monte Carlo simulations of the q-state Potts model with a disorder displaying slowly-decaying correlations reported a violation of hyperscaling relation caused by large disorder fluctuations and the existence of a Griffiths phase, as in random systems governed by an infinite-disorder fixed point. New simulations, directly made in the limit of an infinite disorder strength, are presented. The magnetic scaling dimension is shown to correspond to the correlated percola-tion fixed point. The latter is shown to be unstable at finite disorder strength but with a large cross-over length which is not accessible to Monte Carlo simulations.
Keywords
Cite
@article{arxiv.1610.05539,
title = {Infinite disorder and correlation fixed point in the Potts model with correlated disorder},
author = {Christophe Chatelain},
journal= {arXiv preprint arXiv:1610.05539},
year = {2023}
}