Boundary critical behaviour of two-dimensional random Ising models

Details Boundary critical behaviour of two-dimensional random Ising models Boundary critical behaviour of two-dimensional random Ising models

1997-11-18

arxiv.org/abs/cond-mat/9711182v1

J. Phys. A, 31 (1998) 2801

Physics

Condensed Matter

Statistical Mechanics

16 pages in ioplppt style, 7 ps figures, submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/31/12/006

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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