Computing the roughening transition of Ising and solid-on-solid models by BCSOS model matching

We study the roughening transition of the dual of the two-dimensional (2D) XY model, of the discrete Gaussian model, of the absolute value solid-on-solid model and of the interface in an Ising model on a three-dimensional (3D) simple cubic lattice. The investigation relies on a renormalization group...

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Hauptverfasser: Hasenbusch, Martin (VerfasserIn) , Pinn, Klaus (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 1997
In: Journal of physics. A, Mathematical and general
Year: 1997, Jahrgang: 30, Heft: 1, Pages: 63-80
ISSN:1361-6447
DOI:10.1088/0305-4470/30/1/006
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/0305-4470/30/1/006
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Verfasserangaben:M Hasenbusch and K Pinn

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520 |a We study the roughening transition of the dual of the two-dimensional (2D) XY model, of the discrete Gaussian model, of the absolute value solid-on-solid model and of the interface in an Ising model on a three-dimensional (3D) simple cubic lattice. The investigation relies on a renormalization group finite size scaling method that was proposed and successfully tested a few years ago. The basic idea is to match the renormalization group flow of the interface observables with that of the exactly solvable body-centred solid-on-solid (BCSOS) model. Our estimates for the critical couplings are , and for the XY model, the discrete Gaussian model and the absolute value solid-on-solid model, respectively. For the inverse roughening temperature of the Ising interface we find . To the best of our knowledge, these are the most precise estimates for these parameters published so far. 
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