Boundary critical behaviour of two-dimensional random Ising models

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.

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

References in corpus (3)

• Ising exponents in the two-dimensional site-diluted Ising model
• Critical phenomena at perfect and non-perfect surfaces
• Surface critical behavior of two-dimensional dilute Ising models

Cited by in corpus (8)

• Critical phenomena at perfect and non-perfect surfaces
• Scaling and finte-size-scaling in the two dimensional random-coupling Ising ferromagnet
• Surface critical behavior of random systems at the ordinary transition
• Surface critical behavior of random systems at the special transition
• Crossover between special and ordinary transitions in random semi-infinite Ising-like systems
• Correlation length-exponent relation for the two-dimensional random Ising model
• Iterated star-triangle transformation on inhomogeneous 2D Ising lattices
• Surface critical behavior of semi-infinite systems with cubic anisotropy at the ordinary transition