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Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models VI. Square Lattice with Extra-Vertex Boundary Conditions

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.contributor.authorSalas Martínez, Jesús
dc.contributor.authorSokal, Alan D.
dc.date.accessioned2021-07-13T13:04:22Z
dc.date.available2021-07-13T13:04:22Z
dc.date.issued2011-09
dc.description.abstractWe study, using transfer-matrix methods, the partition-function zeros of the square-lattice q-state Potts antiferromagnet at zero temperature (= square-lattice chromatic polynomial) for the boundary conditions that are obtained from an m×n grid with free boundary conditions by adjoining one new vertex adjacent to all the sites in the leftmost column and a second new vertex adjacent to all the sites in the rightmost column. We provide numerical evidence that the partition-function zeros are becoming dense everywhere in the complex q-plane outside the limiting curve B∞(sq) for this model with ordinary (e.g. free or cylindrical) boundary conditions. Despite this, the infinite-volume free energy is perfectly analytic in this region.en
dc.format.extent95
dc.identifier.bibliographicCitationSalas, J. & Sokal, A. D. (2011). Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models VI. Square Lattice with Extra-Vertex Boundary Conditions. Journal of Statistical Physics, 144(5), pp. 1028–1122.en
dc.identifier.doihttps://doi.org/10.1007/s10955-011-0292-x
dc.identifier.issn0022-4715
dc.identifier.publicationfirstpage1028
dc.identifier.publicationissue5
dc.identifier.publicationlastpage1122
dc.identifier.publicationtitleJournal of Statistical Physicsen
dc.identifier.publicationvolume144
dc.identifier.urihttps://hdl.handle.net/10016/33053
dc.identifier.uxxiAR/0000009531
dc.language.isoeng
dc.publisherSpringeren
dc.rights© 2011, Springer Science Business Media, LLC.en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.subject.otherChromatic polynomialen
dc.subject.otherChromatic rootsen
dc.subject.otherTutte polynomialen
dc.subject.otherPotts modelen
dc.subject.otherTransfer matrixen
dc.subject.otherBeraha-Kahane-Weiss theoremen
dc.subject.otherPlanar graphen
dc.subject.otherSquare latticeen
dc.subject.otherExtra-Vertex boundary conditionsen
dc.titleTransfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models VI. Square Lattice with Extra-Vertex Boundary Conditionsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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