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

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 نشر من قبل Loic Turban
 تاريخ النشر 2005
  مجال البحث فيزياء
والبحث باللغة English
 تأليف F. A. Bagamery




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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, u=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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