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

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dc.creatorBagamery, F. A.
dc.creatorTurban, L.
dc.creatorIgloi, F.
dc.date2005-04-01
dc.date2005-09-16
dc.date.accessioned2026-07-07T03:04:23Z
dc.date.available2026-07-07T03:04:23Z
dc.descriptionWe 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.
dc.description10 pages, 11 figures, RevTeX4, published version, minor changes
dc.identifierhttps://arxiv.org/abs/cond-mat/0504022
dc.identifierhttp://arxiv.org/abs/cond-mat/0504022
dc.identifierPhys. Rev B 72 (2005) 094202
dc.identifierdoi:10.1103/PhysRevB.72.094202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26119
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleTwo-dimensional Ising model with self-dual biaxially correlated disorder
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