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Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2005

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

Résumé

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.

Dates et versions

hal-00112735 , version 1 (09-11-2006)

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F. A. Bagamery, L. Turban, F. Igloi. Two-dimensional Ising model with self-dual biaxially correlated disorder. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2005, 72, pp.094202. ⟨10.1103/PhysRevB.72.094202⟩. ⟨hal-00112735⟩
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