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High Precision Renormalization Group Study of the Roughening Transition

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 reno...

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Detalles Bibliográficos
Autores principales: Hasenbusch, Martin, Marcu, Mihai, Pinn, Klaus
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0378-4371(94)90536-3
http://cds.cern.ch/record/690818
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author Hasenbusch, Martin
Marcu, Mihai
Pinn, Klaus
author_facet Hasenbusch, Martin
Marcu, Mihai
Pinn, Klaus
author_sort Hasenbusch, Martin
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
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spelling cern-6908182023-03-14T19:55:35Zdoi:10.1016/0378-4371(94)90536-3http://cds.cern.ch/record/690818engHasenbusch, MartinMarcu, MihaiPinn, KlausHigh Precision Renormalization Group Study of the Roughening TransitionParticle Physics - LatticeWe 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.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.hep-lat/9404016CERN-TH-7182-94HU-RI-2-94MS-TPI-94-3CERN-TH-7182-94HU-RI-94-2MS-TPI-94-3oai:cds.cern.ch:6908181994-04-29
spellingShingle Particle Physics - Lattice
Hasenbusch, Martin
Marcu, Mihai
Pinn, Klaus
High Precision Renormalization Group Study of the Roughening Transition
title High Precision Renormalization Group Study of the Roughening Transition
title_full High Precision Renormalization Group Study of the Roughening Transition
title_fullStr High Precision Renormalization Group Study of the Roughening Transition
title_full_unstemmed High Precision Renormalization Group Study of the Roughening Transition
title_short High Precision Renormalization Group Study of the Roughening Transition
title_sort high precision renormalization group study of the roughening transition
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/0378-4371(94)90536-3
http://cds.cern.ch/record/690818
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AT marcumihai highprecisionrenormalizationgroupstudyoftherougheningtransition
AT pinnklaus highprecisionrenormalizationgroupstudyoftherougheningtransition