Crossover Scaling and Critical Behavior at the "Surface-Bulk" Multicritical Point

With use of a novel Monte Carlo method suited for the study of surface phenomena, the authors have investigated a three-dimensional Ising model with modified surface exchange. The results verify the scaling behavior of the magnetization profile and confirm and extend renormalization-group predictions. The surface-layer magnetization exponent is β₁=0.78±0.02 except at the "special" (multicritical) transition where β₁ᵐ=0.175±0.025 and the crossover exponent is φ=0.56±0.04.