Publication: Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models VI. Square Lattice with Extra-Vertex Boundary Conditions
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industrial | es |
dc.contributor.author | Salas Martínez, Jesús | |
dc.contributor.author | Sokal, Alan D. | |
dc.date.accessioned | 2021-07-13T13:04:22Z | |
dc.date.available | 2021-07-13T13:04:22Z | |
dc.date.issued | 2011-09 | |
dc.description.abstract | We 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.extent | 95 | |
dc.identifier.bibliographicCitation | Salas, 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.doi | https://doi.org/10.1007/s10955-011-0292-x | |
dc.identifier.issn | 0022-4715 | |
dc.identifier.publicationfirstpage | 1028 | |
dc.identifier.publicationissue | 5 | |
dc.identifier.publicationlastpage | 1122 | |
dc.identifier.publicationtitle | Journal of Statistical Physics | en |
dc.identifier.publicationvolume | 144 | |
dc.identifier.uri | https://hdl.handle.net/10016/33053 | |
dc.identifier.uxxi | AR/0000009531 | |
dc.language.iso | eng | |
dc.publisher | Springer | en |
dc.rights | © 2011, Springer Science Business Media, LLC. | en |
dc.rights.accessRights | open access | en |
dc.subject.eciencia | Matemáticas | es |
dc.subject.other | Chromatic polynomial | en |
dc.subject.other | Chromatic roots | en |
dc.subject.other | Tutte polynomial | en |
dc.subject.other | Potts model | en |
dc.subject.other | Transfer matrix | en |
dc.subject.other | Beraha-Kahane-Weiss theorem | en |
dc.subject.other | Planar graph | en |
dc.subject.other | Square lattice | en |
dc.subject.other | Extra-Vertex boundary conditions | en |
dc.title | Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models VI. Square Lattice with Extra-Vertex Boundary Conditions | en |
dc.type | research article | * |
dc.type.hasVersion | AM | * |
dspace.entity.type | Publication |
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