Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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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 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 xm=β ν=0.1294(7) is somewhat larger than in the pure system. Conformal properties of the magnetization and energy density profiles are also examined numerically.



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