Surface critical behavior of two-dimensional dilute Ising models

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 star-tiangle transformation method. In particular, the critical exponent of the surface magnetization is found to be close to that of the perfect model, betas=1/2. The crossover from surface to bulk critical properties is discussed.

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