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High precision renormalization group study of the roughening transition

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  • Hasenbusch, Martin
  • Marcu, Mihai
  • Pinn, Klaus

Abstract

We confirm the Kosterlitz-Thouless scenario of the roughening transition for three different Solid-On-Solid models: the Discrete Gaussian model, the Absolute-Value-Solid-On-Solid model and the dual transform of the XY-model with standard (cosine) action. The method is based on a matching of the renormalization group flow of the candidate models with the flow of a bona fide KT model, the exactly solvable BCSOS model. The Monte Carlo simulations are performed using efficient cluster algorithms. We obtain high precision estimates for the critical couplings and other non-universal quantities. For the XY-model with cosine action our critical coupling estimate is βXYR = 1.1197 (5). For the roughening coupling of the Discrete Gaussian and the Absolute-Value-Solid-On-Solid model we find KDGR = 0.6645 (6) and KASOSR = 0.8061 (3), respectively.

Suggested Citation

  • Hasenbusch, Martin & Marcu, Mihai & Pinn, Klaus, 1994. "High precision renormalization group study of the roughening transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(1), pages 124-161.
    • Handle: RePEc:eee:phsmap:v:208:y:1994:i:1:p:124-161
    DOI: 10.1016/0378-4371(94)90536-3
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    1. M. Zuberi, 1981. "Nuclear Safeguards and the Developing Countries: the Servitudes of Civilian Nuclear Technology," International Studies, , vol. 20(1-2), pages 173-189, January.
    2. Thomas H. Snitch & Thomas M. Stauffer, 1983. "International Dimensions Of Policy Studies," Review of Policy Research, Policy Studies Organization, vol. 2(4), pages 822-827, May.
    3. Sukhamoy Chakravarty, 1981. "Plus ça change. Essays in Honour of Kurt Martin. Development and Change, Vol. 10, No.4 (October 1979)," Development and Change, International Institute of Social Studies, vol. 12(1), pages 165-176, January.
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