Abstract
We study the roughening transition of an interface in an Ising system on a 3D simple cubic lattice using a finite-size scaling method. The particular method has recently been proposed and successfully tested for various solid-on-solid models. The basic idea is the matching of the renormalization-groupflow of the interface with that of the exactly solvable body-centered cubic solid-on-solid model. We unambiguously confirm the Kosterlitz-Thouless nature of the roughening transition of the Ising interface. Our result for the inverse transition temperatureK r=0.40754(5) is almost two orders of magnitude more accurate than the estimate of Mon, Landau, and Stauffer.
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Hasenbusch, M., Meyer, S. & Pütz, M. The roughening transition of the three-dimensional Ising interface: A Monte Carlo study. J Stat Phys 85, 383–401 (1996). https://doi.org/10.1007/BF02174211
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DOI: https://doi.org/10.1007/BF02174211