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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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1997
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| In: |
Journal of physics. A, Mathematical and general
Year: 1997, Volume: 30, Issue: 1, Pages: 63-80 |
| ISSN: | 1361-6447 |
| DOI: | 10.1088/0305-4470/30/1/006 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/0305-4470/30/1/006
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| Author Notes: | M Hasenbusch and K Pinn |
| Summary: | 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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| Item Description: | Gesehen am 12.07.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1361-6447 |
| DOI: | 10.1088/0305-4470/30/1/006 |