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Duality and the universality class of the three-state Potts antiferromagnet on plane quadrangulations.

dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.contributor.authorLv, Jian-Ping
dc.contributor.authorDeng, Youjin
dc.contributor.authorSalas Martínez, Jesús
dc.contributor.authorJacobsen, Jesper Lykke
dc.contributor.authorSokal, Alan
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-01-26T13:45:33Z
dc.date.available2021-01-26T13:45:33Z
dc.date.issued2018-04-25
dc.description.abstractWe provide a criterion based on graph duality to predict whether the three-state Potts antiferromagnet on a plane quadrangulation has a zero-or finite-temperature critical point, and its universality class. The former case occurs for quadrangulations of self-dual type, and the zero-temperature critical point has central charge c = 1. The latter case occurs for quadrangulations of non-self-dual type, and the critical point belongs to the universality class of the three-state Potts ferromagnet. We have tested this criterion against high-precision computations on four lattices of each type, with very good agreement. We have also found that the Wang-Swendsen-Kotecky algorithm has no critical slowing-down in the former case, and critical slowing-down in the latter.en
dc.description.sponsorshipThis work was supported in part by the Natural Science Foundation of China Grants No. 11625522, No. 11405003, and No. 11774002, the Key Projects of Anhui Province University Outstanding Youth Talent Support Program Grant No. gxyqZD2017009, the Ministry of Science and Technology of China Grant No. 2016YFA0301600, the Institut Universitaire de France, the European Research Council through the Advanced Grant NuQFT, the Spanish MINECO FIS2014-57387-C3-3-P and MINECO/AEI/FEDER, UE FIS2017-84440-C2-2-P grants, and EPSRC Grant No. EP/N025636/1.en
dc.format.extent5es
dc.identifier.bibliographicCitationPhysical review E, 97(4), 040104(R), 5 pp.en
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053 (online)
dc.identifier.issnhttps://doi.org/10.1103/PhysRevE.97.040104
dc.identifier.publicationfirstpage1es
dc.identifier.publicationissue4, 040104(R)es
dc.identifier.publicationlastpage5es
dc.identifier.publicationtitlePHYSICAL REVIEW Een
dc.identifier.publicationvolume97es
dc.identifier.urihttps://hdl.handle.net/10016/31784
dc.identifier.uxxiAR/0000021451
dc.language.isoengen
dc.publisherAmerican Physical Society (APS)en
dc.relation.hasversionhttps://arxiv.org/abs/1712.07047
dc.relation.projectIDGobierno de España. FIS2014-57387-C3-3-Pes
dc.relation.projectIDGobierno de España. FIS2017-84440-C2-2-Pes
dc.rights© 2018 American Physical Societyen
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.titleDuality and the universality class of the three-state Potts antiferromagnet on plane quadrangulations.en
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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