caa a22 4500 445391383 CHVBK 20180317143047.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10955-011-0292-x doi (NATIONALLICENCE)springer-10.1007/s10955-011-0292-x Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models VI. Square Lattice with Extra-Vertex Boundary Conditions [Elektronische Daten] [Jesús Salas, Alan Sokal] 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 $\mathcal{B}_{\infty}(\mathrm{sq})$ 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. Springer Science+Business Media, LLC, 2011 Chromatic polynomial nationallicence Chromatic roots nationallicence Tutte polynomial nationallicence Potts model nationallicence Transfer matrix nationallicence Beraha-Kahane-Weiss theorem nationallicence Planar graph nationallicence Square lattice nationallicence Extra-vertex boundary conditions nationallicence Salas Jesús Instituto Gregorio Millán and Grupo de Modelización, Simulación Numérica y Matemática Industrial, Universidad Carlos III de Madrid, Avda. de la Universidad, 30, 28911, Leganés, Spain aut Sokal Alan Department of Physics, New York University, 4 Washington Place, 10003, New York, NY, USA aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/5(2011-09-01), 1028-1122 0022-4715 144:5<1028 2011 144 10955 https://doi.org/10.1007/s10955-011-0292-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0292-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Salas Jesús Instituto Gregorio Millán and Grupo de Modelización, Simulación Numérica y Matemática Industrial, Universidad Carlos III de Madrid, Avda. de la Universidad, 30, 28911, Leganés, Spain aut NATIONALLICENCE 700 1- Sokal Alan Department of Physics, New York University, 4 Washington Place, 10003, New York, NY, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/5(2011-09-01), 1028-1122 0022-4715 144:5<1028 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 445391383 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer