Articles dans des revues à comité de lecture
|Two-dimensional Ising model with self-dual biaxially correlated disorder|
|Bagamery F.A., Turban L., Iglói F.|
|Physical Review B - Condensed Matter and Materials Physics 72 (2005) 094202|
|DOI : 10.1103/PhysRevB.72.094202|
|ArXiv : cond-mat/0504022 [PDF]|
|HAL : hal-00112735|
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, which has a correlator, G(r)â^¼r-1, 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 Î½=2.005(5) corresponds to that expected in a system with isotropic correlated long-range disorder, whereas the scaling dimension of the magnetization density xm=Î² Î½=0.1294(7) is somewhat larger than in the pure system. Conformal properties of the magnetization and energy density profiles are also examined numerically.