High Precision Renormalization Group Study of the Roughening Transition

Details High Precision Renormalization Group Study of the Roughening Transition High Precision Renormalization Group Study of the Roughening Transition

1994-04-29

arxiv.org/abs/hep-lat/9404016v1

Physica A208 (1994) 124-161

Physics

High Energy Physics

High Energy Physics - Lattice

46 pages, PostScript file (compressed and uuencoded), preprints CERN-TH.7182/94, HU-RI-2/94, and MS-TPI-94-3

Scientific paper

10.1016/0378-4371(94)90536-3

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 $\beta_R^{XY}=1.1197(5)$. For the roughening coupling of the Discrete Gaussian and the Absolute-Value-Solid-On-Solid model we find $K_R^{DG}=0.6645(6)$ and $K_R^{ASOS}=0.8061(3)$, respectively.

Affiliated with

Also associated with

No associations

Rating

High Precision Renormalization Group Study of the Roughening Transition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with High Precision Renormalization Group Study of the Roughening Transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High Precision Renormalization Group Study of the Roughening Transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271512