SURFACE-TENSION, SURFACE STIFFNESS, AND SURFACE WIDTH OF THE 3-DIMENSIONAL ISING-MODEL ON A CUBIC LATTICE

We compute proper-ties of the interface of the 3-dimensional Ising model for a wide range of temperatures, covering the whole region from the low temperature domain through the roughening transition to the bulk critical point. The interface tension sigma is obtained by integrating the surface energy density over the inverse temperature beta. We use lattices of size L x L x T, with L up to 64, and T up to 27. The simulations with antiperiodic boundary conditions in T-direction are done with the Hasenbusch-Meyer interface cluster algorithm, which turns out to be very efficient. We demonstrate that in the rough phase the large distance behavior of the interface is well described by a massless Gaussian dynamics. The surface stiffness coefficient kappa is determined. We also attempt to determine the correlation length xi and study universal quantities like xi2sigma and xi2kappa. Results for the interfacial width on lattices up to 512 x 512 x 27 are also presented.