Universality in Three Dimensional Random-Field Ground States
Abstract
We investigate the critical behavior of three-dimensional random-field Ising systems with both Gauss and bimodal distribution of random fields and additional the three-dimensional diluted Ising antiferromagnet in an external field. These models are expected to be in the same universality class. We use exact ground-state calculations with an integer optimization algorithm and by a finite-size scaling analysis we calculate the critical exponents nu, beta, and gamma-bar. While the random-field model with Gauss distribution of random fields and the diluted antiferromagnet appear to be in same universality class, the critical exponents of the random-field model with bimodal distribution of random fields seem to be significantly different.
Cite
@article{arxiv.cond-mat/9807131,
title = {Universality in Three Dimensional Random-Field Ground States},
author = {A. K. Hartmann and U. Nowak},
journal= {arXiv preprint arXiv:cond-mat/9807131},
year = {2009}
}
Comments
5 pages, Revtex, 6 Figures included, accepted for Eur.Phys.J.B