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Phase diagram of the triangular-lattice Potts antiferromagnet

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.contributor.authorJacobsen, Jesper Lykke
dc.contributor.authorSalas Martínez, Jesús
dc.contributor.authorScullard, Christian R.
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-04-09T09:55:24Z
dc.date.available2021-04-09T09:55:24Z
dc.date.issued2017-07-28
dc.description.abstractWe study the phase diagram of the triangular-lattice Q-state Potts model in the real (Q, v)-plane, where v - e(J) - 1 is the temperature variable. Our first goal is to provide an obviously missing feature of this diagram: the position of the antiferromagnetic critical curve. This curve turns out to possess a bifurcation point with two branches emerging from it, entailing important consequences for the global phase diagram. We have obtained accurate numerical estimates for the position of this curve by combining the transfer-matrix approach for strip graphs with toroidal boundary conditions and the recent method of critical polynomials. The second goal of this work is to study the corresponding A(p-1) RSOS model on the torus, for integer p = 4, 5,..., 8. We clarify its relation to the corresponding Potts model, in particular concerning the role of boundary conditions. For certain values of p, we identify several new critical points and regimes for the RSOS model and we initiate the study of the flows between the corresponding field theories.en
dc.description.sponsorshipThe research of JLJ was supported in part by the Agence Nationale de la Recherche (grant ANR-10-BLAN-0414: DIME), the Institut Universitaire de France, and the European Research Council (through the advanced grant NuQFT). The research of JLJ and JS was supported in part by Spanish MINECO grant FIS2014-57387-C3-3-P. The work of CRS was performed under the auspices of the U.S. Department of Energy at the Lawrence Livermore National Laboratory under Contract No DE-AC52-07NA27344.en
dc.format.extent50
dc.identifier.bibliographicCitationJacobsen, J. L., Salas, J. & Scullard, C. R. (2017). Phase diagram of the triangular-lattice Potts antiferromagnet. Journal of Physics A: Mathematical and Theoretical, 50(34), 345002.en
dc.identifier.doihttps://doi.org/10.1088/1751-8121/aa778f
dc.identifier.issn1751-8113
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue34 (345002)
dc.identifier.publicationlastpage50
dc.identifier.publicationtitleJournal of Physics A: Mathematical and Theoreticalen
dc.identifier.publicationvolume50
dc.identifier.urihttps://hdl.handle.net/10016/32321
dc.identifier.uxxiAR/0000020387
dc.language.isoeng
dc.publisherIOP Scienceen
dc.relation.projectIDGobierno de España. FIS2014-57387-C3-3-Pes
dc.rights© 2017 IOP Publishing Ltden
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.subject.otherPotts modelen
dc.subject.otherRSOS Modelen
dc.subject.otherConformal field theoryen
dc.subject.otherTransfer matrixen
dc.subject.otherCritical polynomialen
dc.titlePhase diagram of the triangular-lattice Potts antiferromagneten
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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