Two-dimensional Ising model with self-dual biaxially correlated disorder

2005/04/30 by F. A. Bagamery, L. Turban, F. Igloi
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevb.72.094202

published as Phys. Rev B 72 (2005) 094202 · 10 pages, 11 figures, RevTeX4, published version, minor changes

arxiv created 2005/09/16 · arxiv updated 2009/12/01

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, ν=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.

Related

• Griffiths singularity in the two dimensional random bond disordered Ising ferromagnet
• Ising model on directed small-world Voronoi Delaunay random lattices
• The two-dimensional continuum random field Ising model
• Critical Behavior of the Two-Dimensional Random Quantum Ising Ferromagnet
• Two-dimensional Dilute Ising Models: Defect Lines and the Universality of the Critical Exponent ν