Arctic curves of the 20V model on a triangle
International audience We apply the Tangent Method of Colomo and Sportiello to predict the arctic curves of the Twenty Vertex model with specific domain wall boundary conditions on a triangle, in the Disordered phase, leading to a phase diagram with six types of frozen phases and one liquid one. The...
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ftuniparissaclay:oai:HAL:hal-04216436v1 2024-10-06T13:45:36+00:00 Arctic curves of the 20V model on a triangle Francesc, Philippe, Di Institut de Physique Théorique - UMR CNRS 3681 (IPHT) Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Direction de Recherche Fondamentale (CEA) (DRF (CEA)) Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA) 2023 https://hal.science/hal-04216436 https://hal.science/hal-04216436/document https://hal.science/hal-04216436/file/Di_Francesco_2023_J._Phys._A%20_Math._Theor._56_204001.pdf https://doi.org/10.1088/1751-8121/acccbe en eng HAL CCSD IOP Publishing info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8121/acccbe hal-04216436 https://hal.science/hal-04216436 https://hal.science/hal-04216436/document https://hal.science/hal-04216436/file/Di_Francesco_2023_J._Phys._A%20_Math._Theor._56_204001.pdf doi:10.1088/1751-8121/acccbe info:eu-repo/semantics/OpenAccess ISSN: 1751-8113 EISSN: 1751-8121 Journal of Physics A: Mathematical and Theoretical https://hal.science/hal-04216436 Journal of Physics A: Mathematical and Theoretical, 2023, 56 (20), pp.204001. ⟨10.1088/1751-8121/acccbe⟩ integrable lattice models arctic phenomenon limit shape ice type models osculating paths [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] info:eu-repo/semantics/article Journal articles 2023 ftuniparissaclay https://doi.org/10.1088/1751-8121/acccbe 2024-09-06T00:30:27Z International audience We apply the Tangent Method of Colomo and Sportiello to predict the arctic curves of the Twenty Vertex model with specific domain wall boundary conditions on a triangle, in the Disordered phase, leading to a phase diagram with six types of frozen phases and one liquid one. The result relies on a relation to the Six Vertex model with domain wall boundary conditions and suitable weights, as a consequence of integrability. We also perform the exact refined enumeration of configurations. Article in Journal/Newspaper Arctic Archives ouvertes de Paris-Saclay Arctic Journal of Physics A: Mathematical and Theoretical 56 20 204001 |
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Open Polar |
collection |
Archives ouvertes de Paris-Saclay |
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ftuniparissaclay |
language |
English |
topic |
integrable lattice models arctic phenomenon limit shape ice type models osculating paths [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] |
spellingShingle |
integrable lattice models arctic phenomenon limit shape ice type models osculating paths [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] Francesc, Philippe, Di Arctic curves of the 20V model on a triangle |
topic_facet |
integrable lattice models arctic phenomenon limit shape ice type models osculating paths [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] |
description |
International audience We apply the Tangent Method of Colomo and Sportiello to predict the arctic curves of the Twenty Vertex model with specific domain wall boundary conditions on a triangle, in the Disordered phase, leading to a phase diagram with six types of frozen phases and one liquid one. The result relies on a relation to the Six Vertex model with domain wall boundary conditions and suitable weights, as a consequence of integrability. We also perform the exact refined enumeration of configurations. |
author2 |
Institut de Physique Théorique - UMR CNRS 3681 (IPHT) Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Direction de Recherche Fondamentale (CEA) (DRF (CEA)) Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA) |
format |
Article in Journal/Newspaper |
author |
Francesc, Philippe, Di |
author_facet |
Francesc, Philippe, Di |
author_sort |
Francesc, Philippe, Di |
title |
Arctic curves of the 20V model on a triangle |
title_short |
Arctic curves of the 20V model on a triangle |
title_full |
Arctic curves of the 20V model on a triangle |
title_fullStr |
Arctic curves of the 20V model on a triangle |
title_full_unstemmed |
Arctic curves of the 20V model on a triangle |
title_sort |
arctic curves of the 20v model on a triangle |
publisher |
HAL CCSD |
publishDate |
2023 |
url |
https://hal.science/hal-04216436 https://hal.science/hal-04216436/document https://hal.science/hal-04216436/file/Di_Francesco_2023_J._Phys._A%20_Math._Theor._56_204001.pdf https://doi.org/10.1088/1751-8121/acccbe |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
ISSN: 1751-8113 EISSN: 1751-8121 Journal of Physics A: Mathematical and Theoretical https://hal.science/hal-04216436 Journal of Physics A: Mathematical and Theoretical, 2023, 56 (20), pp.204001. ⟨10.1088/1751-8121/acccbe⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8121/acccbe hal-04216436 https://hal.science/hal-04216436 https://hal.science/hal-04216436/document https://hal.science/hal-04216436/file/Di_Francesco_2023_J._Phys._A%20_Math._Theor._56_204001.pdf doi:10.1088/1751-8121/acccbe |
op_rights |
info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.1088/1751-8121/acccbe |
container_title |
Journal of Physics A: Mathematical and Theoretical |
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56 |
container_issue |
20 |
container_start_page |
204001 |
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1812173971181797376 |