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arXiv:cond-mat/9707336 · Journal of Statistical Physics

Surface Critical Behavior of Two-Dimensional Dilute Ising Models

Walter Selke, F. Szalma, Péter Lajkó, Ferenc Iglói

Published Dec 1, 1997• 16 citations
arXivHTMLPDF
DOI
10.1007/bf02764223

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We consider the two-dimensional randomly site diluted Ising model and the random-bond +/-J Ising model (also called the Edwards-Anderson model), and study their critical behavior at the paramagnetic-ferromagnetic transition. The critical behavior of thermodynamic quantities can be derived from a set of renormalization-group equations, in which disorder is a marginally irrelevant perturbation at the two-dimensional Ising fixed point. We discuss their solutions, focusing in particular on the universality of the logarithmic corrections arising from the presence of disorder. Then, we present a finite-size scaling analysis of high-statistics Monte Carlo simulations. The numerical results confirm the renormalization-group predictions, and in particular the universality of the logarithmic corrections to the Ising behavior due to quenched dilution.