Phase diagram for the bisected-hexagonal-lattice five-state Potts antiferromagnet

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dc.contributor.author Salas Martínez, Jesús
dc.date.accessioned 2021-01-28T13:40:17Z
dc.date.available 2021-01-28T13:40:17Z
dc.date.issued 2020-09-15
dc.identifier.bibliographicCitation Physical review E, 102(3), 032124, 23 pp.
dc.identifier.issn 2470-0045
dc.identifier.issn 2470-0053 (online)
dc.identifier.uri http://hdl.handle.net/10016/31810
dc.description.abstract In this paper we study the phase diagram of the five-state Potts antiferromagnet on the bisected-hexagonal lattice. This question is important since Delfino and Tartaglia recently showed that a second-order transition in a five-state Potts antiferromagnet is allowed, and the bisected-hexagonal lattice had emerged as a candidate for such a transition on numerical grounds. By using high-precision Monte Carlo simulations and two complementary analysis methods, we conclude that there is a finite-temperature first-order transition point. This one separates a paramagnetic high-temperature phase, and a low-temperature phase where five phases coexist. This phase transition is very weak in the sense that its latent heat (per edge) is two orders of magnitude smaller than that of other well-known weak first-order phase transitions.
dc.description.sponsorship This work has been supported in part by the Spanish Ministerio de Economía, Industria y Competitividad (MINECO), Agencia Estatal de Investigación (AEI), and Fondo Europeo de Desarrollo Regional (FEDER) through Grant No. FIS2017-84440-C2-2-P.
dc.format.extent 23
dc.language.iso eng
dc.publisher American Physical Society (APS)
dc.relation.hasversion https://arxiv.org/abs/2006.04866
dc.rights © 2020 American Physical Society
dc.subject.other Partition-function zeros
dc.subject.other Dynamic critical-behavior
dc.subject.other First-order transition points
dc.subject.other Swendsen-Wang algorithm
dc.subject.other Random-cluster model
dc.subject.other Transfer-matrices
dc.subject.other Square-lattice
dc.subject.other Chromatic polynomials
dc.subject.other Kempe equivalence
dc.subject.other Ising-model
dc.title Phase diagram for the bisected-hexagonal-lattice five-state Potts antiferromagnet
dc.type article
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1103/PhysRevE.102.032124
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2017-84440-C2-2-P
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 3, 032124
dc.identifier.publicationlastpage 23
dc.identifier.publicationtitle PHYSICAL REVIEW E
dc.identifier.publicationvolume 102
dc.identifier.uxxi AR/0000026204
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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