Two-dimensional Ising model with self-dual biaxially correlated disorder
  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. 
F. A. Bagamery (1,2), L. Turban (2) and F. Igloi (3,1) ((1) Szeged   University, (2) Henri Poincare-Nancy 1 University, (3) ...