F. Igloi et al., BOUNDARY CRITICAL-BEHAVIOR OF 2-DIMENSIONAL RANDOM ISING-MODELS, Journal of physics. A, mathematical and general, 31(12), 1998, pp. 2801-2814
Using Monte Carlo techniques and a star-triangle transformation, Ising
models with random, 'strong' and 'weak', nearest-neighbour ferromagne
tic couplings on a square lattice with a (1,1) surface are studied nea
r the phase transition. Both surface and bulk critical properties are
investigated. In particular, the critical exponents of the surface mag
netization, beta(1), of the correlation length, nu, and of the critica
l surface correlations, eta(parallel to), are analysed.