Nonclassical wetting behavior in the solid-on-solid limit of the three-dimensional Ising model

Critical and complete wetting transitions are studied in the solid-on-solid limit of the three-dimensional Ising model. The surface order parameter and coverage are calculated using Monte Carlo methods for various T>${\mathit{T}}_{\mathit{R}}$ (the roughening temperature). The critical behavior is found to be universal, but consistent with renormalization-group predictions. We predict that for T≳${\mathit{T}}_{\mathit{R}}$: (i) the parameter ω≃1/4 in the Ising model; this is much less than the previous estimate ω≃1; (ii) the length scale in the effective interface potential is about twice as large as the Ising bulk correlation length.