Two-dimensional Ising model with self-dual biaxially correlated disorder
Abstract
We consider the Ising model on the square lattice with biaxially correlated random ferromagnetic couplings, the critical point of which is fixed by self-duality. The disorder represents a relevant perturbation according to the extended Harris criterion. Critical properties of the system are studied by large scale Monte Carlo simulations. The correlation length critical exponent, \nu=2.005(5), corresponds to that expected in a system with isotropic correlated long-range disorder, whereas the scaling dimension of the magnetization density, x_m=0.1294(7), is somewhat larger than in the pure system. Conformal properties of the magnetization and energy density profiles are also examined numerically.
Cite
@article{arxiv.cond-mat/0504022,
title = {Two-dimensional Ising model with self-dual biaxially correlated disorder},
author = {F. A. Bagamery and L. Turban and F. Igloi},
journal= {arXiv preprint arXiv:cond-mat/0504022},
year = {2007}
}
Comments
10 pages, 11 figures, RevTeX4, published version, minor changes