Computing the Roughening Transition of Ising and Solid-On-Solid Models by BCSOS Model Matching

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dc.creatorHasenbusch, M.
dc.creatorPinn, K.
dc.date1996-05-03
dc.date.accessioned2026-07-07T10:57:52Z
dc.date.available2026-07-07T10:57:52Z
dc.descriptionWe study the roughening transition of the dual of the 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 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 BCSOS model. Our estimates for the critical couplings are $β_R^{XY}=1.1199(1)$, $K_R^{DG}=0.6653(2)$ and $K_R^{ASOS}=0.80608(2)$ 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 $K_R^{Ising}= 0.40758(1)$. To the best of our knowledge, these are the most precise estimates for these parameters published so far.
dc.description25 pages, LaTeX file, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9605019
dc.identifierhttp://arxiv.org/abs/cond-mat/9605019
dc.identifierJ.Phys.A30:63-80,1997
dc.identifierdoi:10.1088/0305-4470/30/1/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186902
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.titleComputing the Roughening Transition of Ising and Solid-On-Solid Models by BCSOS Model Matching
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