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Surface Critical Behavior of Two-Dimensional Dilute Ising Models

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Abstract

Ising models with nearest neighbor ferromagnetic random couplings on a square lattice with a (1, 1) surface are studied, using Monte Carlo techniques and a star-triangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfect model, Β1 = 1/2. The crossover from surface to bulk critical properties is discussed.

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Selke, W., Szalma, F., Lajkó, P. et al. Surface Critical Behavior of Two-Dimensional Dilute Ising Models. J Stat Phys 89, 1079–1085 (1997). https://doi.org/10.1007/BF02764223

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  • DOI: https://doi.org/10.1007/BF02764223

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