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Physica A Statistical Mechanics and its Applications

The two-dimensional Ising model with two defect lines — a Monte Carlo study

Walter Selke

Published Sep 1, 1991• 9 citations
Publisher
DOI
10.1016/0378-4371(91)90187-h

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Two-dimensional Dilute Ising Models: Defect Lines and the Universality of the Critical Exponent ν

F. Szalma, Ferenc Iglói

We consider two-dimensional Ising models with randomly distributed ferromagnetic bonds and study the local critical behavior at defect lines by extensive Monte Carlo simulations. Both for ladder and chain type defects, non-universal critical behavior is observed: the critical exponent of the defect magnetization is found to be a continuous function of the strength of the defect coupling. Analyzing corresponding stability conditions, we obtain new evidence that the critical exponent $ν$ of the bulk correlation length of the random Ising model does not depend on dilution, i.e. $ν=1$.

arXiv:cond-mat/9901026•Jan 5, 1999•0 citations
We consider two-dimensional Ising models with randomly distributed ferromagnetic bonds and study the local critical behavior at defect lines by extensive Monte Carlo simulations. Both for ladder and chain type defects, non-universal critical behavior is observed: the critical exponent of the defect magnetization is found to be a continuous function of the strength of the defect coupling. Analyzing corresponding stability conditions, we obtain new evidence that the critical exponent ννν of the bulk correlation length of the random Ising model does not depend on dilution, i.e. ν=1ν=1ν=1.