Phase diagram of the triangular-lattice Potts antiferromagnet

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Show simple item record Jacobsen, Jesper Lykke Salas Martínez, Jesús Scullard, Christian R. 2021-04-09T09:55:24Z 2021-04-09T09:55:24Z 2017-07-28
dc.identifier.bibliographicCitation Jacobsen, 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.
dc.identifier.issn 1751-8113
dc.description.abstract We 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.
dc.description.sponsorship The 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.
dc.format.extent 50
dc.language.iso eng
dc.publisher IOP Science
dc.rights © 2017 IOP Publishing Ltd
dc.subject.other Potts model
dc.subject.other RSOS Model
dc.subject.other Conformal field theory
dc.subject.other Transfer matrix
dc.subject.other Critical polynomial
dc.title Phase diagram of the triangular-lattice Potts antiferromagnet
dc.type article
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2014-57387-C3-3-P
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 34 (345002)
dc.identifier.publicationlastpage 50
dc.identifier.publicationtitle Journal of Physics A: Mathematical and Theoretical
dc.identifier.publicationvolume 50
dc.identifier.uxxi AR/0000020387
dc.contributor.funder Ministerio de Economía y Competitividad (España)
dc.affiliation.dpto UC3M. Departamento de Matemáticas
dc.affiliation.grupoinv UC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industrial
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