Directed-loop Monte Carlo simulations of vertex models

We show how the directed-loop Monte Carlo algorithm can be applied to study vertex models. The algorithm is employed to calculate the arrow polarization in the six-vertex model with the domain wall boundary conditions (DWBC). The model exhibits spatially separated ordered and ``disordered''...

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Main Authors: Syljuasen, Olav F., Zvonarev, M. B.
Format: Text
Language:unknown
Published: arXiv 2004
Subjects:
Statistical Mechanics cond-mat.stat-mech
FOS Physical sciences
Arctic
Online Access:https://dx.doi.org/10.48550/arxiv.cond-mat/0401491
https://arxiv.org/abs/cond-mat/0401491
id ftdatacite:10.48550/arxiv.cond-mat/0401491
record_format openpolar
spelling ftdatacite:10.48550/arxiv.cond-mat/0401491 2023-05-15T14:58:57+02:00 Directed-loop Monte Carlo simulations of vertex models Syljuasen, Olav F. Zvonarev, M. B. 2004 https://dx.doi.org/10.48550/arxiv.cond-mat/0401491 https://arxiv.org/abs/cond-mat/0401491 unknown arXiv https://dx.doi.org/10.1103/physreve.70.016118 Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004 http://arxiv.org/licenses/assumed-1991-2003/ Statistical Mechanics cond-mat.stat-mech FOS Physical sciences article-journal Article ScholarlyArticle Text 2004 ftdatacite https://doi.org/10.48550/arxiv.cond-mat/0401491 https://doi.org/10.1103/physreve.70.016118 2022-04-01T16:28:53Z We show how the directed-loop Monte Carlo algorithm can be applied to study vertex models. The algorithm is employed to calculate the arrow polarization in the six-vertex model with the domain wall boundary conditions (DWBC). The model exhibits spatially separated ordered and ``disordered'' regions. We show how the boundary between these regions depends on parameters of the model. We give some predictions on the behavior of the polarization in the thermodynamic limit and discuss the relation to the Arctic Circle theorem. : Extended version with autocorrelations and more figures. Added 2 references Text Arctic DataCite Metadata Store (German National Library of Science and Technology) Arctic
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Statistical Mechanics cond-mat.stat-mech
FOS Physical sciences
spellingShingle Statistical Mechanics cond-mat.stat-mech
FOS Physical sciences
Syljuasen, Olav F.
Zvonarev, M. B.
Directed-loop Monte Carlo simulations of vertex models
topic_facet Statistical Mechanics cond-mat.stat-mech
FOS Physical sciences
description We show how the directed-loop Monte Carlo algorithm can be applied to study vertex models. The algorithm is employed to calculate the arrow polarization in the six-vertex model with the domain wall boundary conditions (DWBC). The model exhibits spatially separated ordered and ``disordered'' regions. We show how the boundary between these regions depends on parameters of the model. We give some predictions on the behavior of the polarization in the thermodynamic limit and discuss the relation to the Arctic Circle theorem. : Extended version with autocorrelations and more figures. Added 2 references
format Text
author Syljuasen, Olav F.
Zvonarev, M. B.
author_facet Syljuasen, Olav F.
Zvonarev, M. B.
author_sort Syljuasen, Olav F.
title Directed-loop Monte Carlo simulations of vertex models
title_short Directed-loop Monte Carlo simulations of vertex models
title_full Directed-loop Monte Carlo simulations of vertex models
title_fullStr Directed-loop Monte Carlo simulations of vertex models
title_full_unstemmed Directed-loop Monte Carlo simulations of vertex models
title_sort directed-loop monte carlo simulations of vertex models
publisher arXiv
publishDate 2004
url https://dx.doi.org/10.48550/arxiv.cond-mat/0401491
https://arxiv.org/abs/cond-mat/0401491
geographic Arctic
geographic_facet Arctic
genre Arctic
genre_facet Arctic
op_relation https://dx.doi.org/10.1103/physreve.70.016118
op_rights Assumed arXiv.org perpetual, non-exclusive license to distribute this article for submissions made before January 2004
http://arxiv.org/licenses/assumed-1991-2003/
op_doi https://doi.org/10.48550/arxiv.cond-mat/0401491
https://doi.org/10.1103/physreve.70.016118
_version_ 1766331061651898368

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