Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models
Abstract
We consider the two-dimensional randomly site diluted Ising model and the random-bond +-J Ising model (also called Edwards-Anderson model), and study their critical behavior at the paramagnetic-ferromagnetic transition. The critical behavior of thermodynamic quantities can be derived from a set of renormalization-group equations, in which disorder is a marginally irrelevant perturbation at the two-dimensional Ising fixed point. We discuss their solutions, focusing in particular on the universality of the logarithmic corrections arising from the presence of disorder. Then, we present a finite-size scaling analysis of high-statistics Monte Carlo simulations. The numerical results confirm the renormalization-group predictions, and in particular the universality of the logarithmic corrections to the Ising behavior due to quenched dilution.
Cite
@article{arxiv.0804.2788,
title = {Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models},
author = {M. Hasenbusch and F. Parisen Toldin and A. Pelissetto and E. Vicari},
journal= {arXiv preprint arXiv:0804.2788},
year = {2009}
}
Comments
30 pages