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Boundary critical behaviour of two-dimensional random Ising models

F. Igloi·P. Lajko·W. Selke·F. Szalma
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Abstract

Using Monte Carlo techniques and a star-triangle transformation, Ising models with random, 'strong' and 'weak', nearest-neighbour ferromagnetic couplings on a square lattice with a (1,1) surface are studied near the phase transition. Both surface and bulk critical properties are investigated. In particular, the critical exponents of the surface magnetization, 'beta_1', of the correlation length, 'nu', and of the critical surface correlations, 'eta_{\parallel}', are analysed.

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F. Igloi, P. Lajko, W. Selke, F. Szalma. 1997-11-18. Boundary critical behaviour of two-dimensional random Ising models. https://doi.org/10.1088/0305-4470%2F31%2F12%2F006

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