HIGH-PRECISION RENORMALIZATION-GROUP STUDY OF THE ROUGHENING TRANSITION

We confirm the Kosterlitz-Thouless scenario of the roughening transiti on for three different Solid-On-Solid models: the Discrete Gaussian mo del, the Absolute-Value-Solid-On-Solid model and the dual transform of the XY-model with standard (cosine) action. The method is based on a matching of the renormalization group flow of the candidate models wit h the flow of a bona fide KT model, the exactly solvable BCSOS model. The Monte Carlo simulations are performed using efficient cluster algo rithms. We obtain high precision estimates for the critical couplings and other non-universal quantities. For the XY-model with cosine actio n our critical coupling estimate is beta(R)XY = 1.1197 (5). For the ro ughening coupling of the Discrete Gaussian and the Absolute-Value-Soli d-On-Solid model we find K(R)DG = 0.6645(6) and K(R)ASOS = 0.8061(3), respectively.