THE ROUGHENING TRANSITION OF THE 3-DIMENSIONAL ISING INTERFACE - A MONTE-CARLO STUDY

Citation
M. Hasenbusch et al., THE ROUGHENING TRANSITION OF THE 3-DIMENSIONAL ISING INTERFACE - A MONTE-CARLO STUDY, Journal of statistical physics, 85(3-4), 1996, pp. 383-401
Citations number
34
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
85
Issue
3-4
Year of publication
1996
Pages
383 - 401
Database
ISI
SICI code
0022-4715(1996)85:3-4<383:TRTOT3>2.0.ZU;2-X
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 p articular method has recently been proposed and successfully tested fo r various solid-on-solid models. The basic idea is the matching of the renormalization-groupflow of the interface with that of the exactly s olvable body-centered cubic solid-on-solid model. We unambiguously con firm the Kosterlitz-Thouless nature of the roughening transition of th e Ising interface. Our result for the inverse transition temperature K -R=0.40754(5) is almost two orders of magnitude more accurate than the estimate of Mon, Landau, and Stauffer.