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

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...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2005-09, Vol.72 (9), p.094202.1-094202.9, Article 094202
Main Authors: BAGAMERY, Farkas A, TURBAN, Loïc, IGLOI, Ferenc
Format: Article
Language:English
Subjects:
Condensed Matter
Exact sciences and technology
Lattice theory and statistics (ising, potts, etc.)
Physics
Statistical Mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary: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.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.72.094202