Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition

We consider the six-vertex model with reflecting end boundary condition. We study the asymptotic behavior of the boundary correlations. This asymptotic behavior is used as an input into the Tangent Method in order to derive analytically the arctic curve at the free fermion point. The obtained curve...

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Bibliographic Details
Main Authors: Passos, I. R., Ribeiro, G. A. P.
Format: Article in Journal/Newspaper
Language:unknown
Published: arXiv 2019
Subjects:
Mathematical Physics math-ph
FOS Physical sciences
Arctic
Online Access:https://dx.doi.org/10.48550/arxiv.1908.05773
https://arxiv.org/abs/1908.05773
id ftdatacite:10.48550/arxiv.1908.05773
record_format openpolar
spelling ftdatacite:10.48550/arxiv.1908.05773 2023-05-15T14:46:31+02:00 Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition Passos, I. R. Ribeiro, G. A. P. 2019 https://dx.doi.org/10.48550/arxiv.1908.05773 https://arxiv.org/abs/1908.05773 unknown arXiv https://dx.doi.org/10.1088/1742-5468/ab4bbf arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Mathematical Physics math-ph FOS Physical sciences article-journal Article ScholarlyArticle Text 2019 ftdatacite https://doi.org/10.48550/arxiv.1908.05773 https://doi.org/10.1088/1742-5468/ab4bbf 2022-03-10T16:27:39Z We consider the six-vertex model with reflecting end boundary condition. We study the asymptotic behavior of the boundary correlations. This asymptotic behavior is used as an input into the Tangent Method in order to derive analytically the arctic curve at the free fermion point. The obtained curve is a semicircle, which is in agreement with previous Monte Carlo simulations. : 30 pages, 8 figures Article in Journal/Newspaper 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 Mathematical Physics math-ph
FOS Physical sciences
spellingShingle Mathematical Physics math-ph
FOS Physical sciences
Passos, I. R.
Ribeiro, G. A. P.
Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
topic_facet Mathematical Physics math-ph
FOS Physical sciences
description We consider the six-vertex model with reflecting end boundary condition. We study the asymptotic behavior of the boundary correlations. This asymptotic behavior is used as an input into the Tangent Method in order to derive analytically the arctic curve at the free fermion point. The obtained curve is a semicircle, which is in agreement with previous Monte Carlo simulations. : 30 pages, 8 figures
format Article in Journal/Newspaper
author Passos, I. R.
Ribeiro, G. A. P.
author_facet Passos, I. R.
Ribeiro, G. A. P.
author_sort Passos, I. R.
title Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
title_short Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
title_full Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
title_fullStr Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
title_full_unstemmed Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
title_sort arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
publisher arXiv
publishDate 2019
url https://dx.doi.org/10.48550/arxiv.1908.05773
https://arxiv.org/abs/1908.05773
geographic Arctic
geographic_facet Arctic
genre Arctic
genre_facet Arctic
op_relation https://dx.doi.org/10.1088/1742-5468/ab4bbf
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1908.05773
https://doi.org/10.1088/1742-5468/ab4bbf
_version_ 1766317713670537216

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