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

F. A. Bagamery; L. Turban; F. Igloi

doi:10.1103/physrevb.72.094202

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

F. A. Bagamery·L. Turban·F. Igloi

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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.

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BibTeX RIS

F. A. Bagamery, L. Turban, F. Igloi. 2005-09-16. Two-dimensional Ising model with self-dual biaxially correlated disorder. https://doi.org/10.1103/physrevb.72.094202

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