COMPUTING THE ROUGHENING TRANSITION OF ISING AND SOLID-ON-SOLID MODELS BY BCSOS MODEL-MATCHING

We study the toughening transition of the dual of the two-dimensional (2D) XY model, of the discrete Gaussian model, of the absolute value s olid-on-solid model and of the interface in an Ising model on a three- dimensional (3D) simple cubic lattice. The investigation relies on a r enormalization group finite size scaling method that was proposed and successfully tested a few years ago. The basic idea is to match the re normalization group Bow of the interface observables with that of the exactly solvable body-centred solid-on-solid (BCSOS) model. Our estima tes for the critical couplings are beta(R)(XY) = 1.1199(1), K-R(DG) = 0.6653(2) and K-R(ASOS) = 0.80608(2) for the XY model, the discrete Ga ussian model and the absolute value solid-on-solid model, respectively . For the inverse roughening temperature of the Ising interface we fin d K-R(Ising) = 0.40758(1). To the best of our knowledge, these are the most precise estimates for these parameters published so far.