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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Online Access: | https://dx.doi.org/10.48550/arxiv.1908.05773 https://arxiv.org/abs/1908.05773 |
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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 |