caa a22 4500 467892652 CHVBK 20180406152753.0 cr unu---uuuuu 170328e20060201xx s 000 0 eng 10.1007/s10955-005-8077-8 doi (NATIONALLICENCE)springer-10.1007/s10955-005-8077-8 Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models [Elektronische Daten] IV. Chromatic Polynomial with Cyclic Boundary Conditions [Jesper Jacobsen, Jesús Salas] We study the chromatic polynomial PG(q) for m× n square- and triangular-lattice strips of widths 2≤ m ≤ 8 with cyclic boundary conditions. This polynomial gives the zero-temperature limit of the partition function for the antiferromagnetic q-state Potts model defined on the lattice G. We show how to construct the transfer matrix in the Fortuin-Kasteleyn representation for such lattices and obtain the accumulation sets of chromatic zeros in the complex q-plane in the limit n→∞. We find that the different phases that appear in this model can be characterized by a topological parameter. We also compute the bulk and surface free energies and the central charge. Springer Science + Business Media, Inc., 2006 Chromatic polynomial nationallicence antiferromagnetic Potts model nationallicence triangular lattice nationallicence square lattice nationallicence transfer matrix nationallicence Fortuin-Kasteleyn representation nationallicence Beraha numbers nationallicence conformal field theory nationallicence Jacobsen Jesper Laboratoire de Physique Théorique et Modéles Statistiques, Université Paris-Sud, Bâtiment 100, F-91405, Orsay, France aut Salas Jesús Grupo de Modelización, Simulación Numérica y Matemática Industrial, Universidad Carlos III de Madrid, Avda. de la Universidad, 30, 28911, Leganés, Spain aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/4(2006-02-01), 705-760 0022-4715 122:4<705 2006 122 10955 https://doi.org/10.1007/s10955-005-8077-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8077-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jacobsen Jesper Laboratoire de Physique Théorique et Modéles Statistiques, Université Paris-Sud, Bâtiment 100, F-91405, Orsay, France aut NATIONALLICENCE 700 1- Salas Jesús Grupo de Modelización, Simulación Numérica y Matemática Industrial, Universidad Carlos III de Madrid, Avda. de la Universidad, 30, 28911, Leganés, Spain aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/4(2006-02-01), 705-760 0022-4715 122:4<705 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 467892652 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer