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

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.

arXiv comment10 pages, 11 figures, RevTeX4, published version, minor changes

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Cited by in corpus (7)

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• Explicit Renormalization Group for D=2 random bond Ising model with long-range correlated disorder
• Long-range quenched bond disorder in the bi-dimensional Potts model
• Self-averaging in the random 2D Ising ferromagnet
• Ground state properties of Ising chain with random monomer-dimer couplings
• Lack of self-averaging of the critical internal energy in a weakly-disordered Baxter model