The density profile of the six vertex model with domain wall boundary conditions
We study numerically the density profile in the six-vertex model with domain wall boundary conditions. Using a Monte Carlo algorithm originally proposed by Allison and Reshetikhin we numerically evaluate the inhomogeneous density profiles in the disordered and antiferromagnetic regimes where frozen...
| Main Authors: | , , |
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| Format: | Text |
| Language: | unknown |
| Published: |
arXiv
2016
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.48550/arxiv.1612.06758 https://arxiv.org/abs/1612.06758 |
| _version_ | 1821829131631853568 |
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| author | Lyberg, Ivar Korepin, Vladimir Viti, Jacopo |
| author_facet | Lyberg, Ivar Korepin, Vladimir Viti, Jacopo |
| author_sort | Lyberg, Ivar |
| collection | DataCite |
| description | We study numerically the density profile in the six-vertex model with domain wall boundary conditions. Using a Monte Carlo algorithm originally proposed by Allison and Reshetikhin we numerically evaluate the inhomogeneous density profiles in the disordered and antiferromagnetic regimes where frozen corners appear. At the free fermion point we present an exact finite-size formula for the density on the horizontal edges that relies on the imaginary time transfer matrix approach. In all cases where exact analytic forms for the density and the arctic curves are known the numerical method shows perfect agreement with them. This also suggests the possibility of its use for accurate quantitative purposes. : 13 pages, 7 pictures, Published version |
| format | Text |
| genre | Arctic |
| genre_facet | Arctic |
| geographic | Arctic |
| geographic_facet | Arctic |
| id | ftdatacite:10.48550/arxiv.1612.06758 |
| institution | Open Polar |
| language | unknown |
| op_collection_id | ftdatacite |
| op_doi | https://doi.org/10.48550/arxiv.1612.06758 https://doi.org/10.1088/1742-5468/aa6b20 |
| op_relation | https://dx.doi.org/10.1088/1742-5468/aa6b20 |
| op_rights | arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
| publishDate | 2016 |
| publisher | arXiv |
| record_format | openpolar |
| spelling | ftdatacite:10.48550/arxiv.1612.06758 2025-01-16T20:34:04+00:00 The density profile of the six vertex model with domain wall boundary conditions Lyberg, Ivar Korepin, Vladimir Viti, Jacopo 2016 https://dx.doi.org/10.48550/arxiv.1612.06758 https://arxiv.org/abs/1612.06758 unknown arXiv https://dx.doi.org/10.1088/1742-5468/aa6b20 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Statistical Mechanics cond-mat.stat-mech High Energy Physics - Theory hep-th Mathematical Physics math-ph FOS Physical sciences article-journal Article ScholarlyArticle Text 2016 ftdatacite https://doi.org/10.48550/arxiv.1612.06758 https://doi.org/10.1088/1742-5468/aa6b20 2022-04-01T10:53:31Z We study numerically the density profile in the six-vertex model with domain wall boundary conditions. Using a Monte Carlo algorithm originally proposed by Allison and Reshetikhin we numerically evaluate the inhomogeneous density profiles in the disordered and antiferromagnetic regimes where frozen corners appear. At the free fermion point we present an exact finite-size formula for the density on the horizontal edges that relies on the imaginary time transfer matrix approach. In all cases where exact analytic forms for the density and the arctic curves are known the numerical method shows perfect agreement with them. This also suggests the possibility of its use for accurate quantitative purposes. : 13 pages, 7 pictures, Published version Text Arctic DataCite Arctic |
| spellingShingle | Statistical Mechanics cond-mat.stat-mech High Energy Physics - Theory hep-th Mathematical Physics math-ph FOS Physical sciences Lyberg, Ivar Korepin, Vladimir Viti, Jacopo The density profile of the six vertex model with domain wall boundary conditions |
| title | The density profile of the six vertex model with domain wall boundary conditions |
| title_full | The density profile of the six vertex model with domain wall boundary conditions |
| title_fullStr | The density profile of the six vertex model with domain wall boundary conditions |
| title_full_unstemmed | The density profile of the six vertex model with domain wall boundary conditions |
| title_short | The density profile of the six vertex model with domain wall boundary conditions |
| title_sort | density profile of the six vertex model with domain wall boundary conditions |
| topic | Statistical Mechanics cond-mat.stat-mech High Energy Physics - Theory hep-th Mathematical Physics math-ph FOS Physical sciences |
| topic_facet | Statistical Mechanics cond-mat.stat-mech High Energy Physics - Theory hep-th Mathematical Physics math-ph FOS Physical sciences |
| url | https://dx.doi.org/10.48550/arxiv.1612.06758 https://arxiv.org/abs/1612.06758 |