Transfer matrices and partition-function zeros for antiferromagnetic Potts models. VI. Square lattice with extra-vertex boundary conditions

DOI10.1007/s10955-011-0292-xzbMath1246.82025arXiv1002.3761OpenAlexW2010332231WikidataQ56893065 ScholiaQ56893065MaRDI QIDQ648130

Alan D. Sokal, Jesús Salas

Publication date: 22 November 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3761

zbMATH Keywords

phase transitionsplanar graphspartition functionsPotts modelchromatic polynomialtransfer matricessquare latticechromatic roots

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Chromatic zeros on hierarchical lattices and equidistribution on parameter space, Parallel family trees for transfer matrices in the Potts model, Transfer matrices and partition-function zeros for antiferromagnetic Potts models. V. Further results for the square-lattice chromatic polynomial, Phase diagram of the triangular-lattice Potts antiferromagnet, Fixed point polynomials of permutation groups., Statistics of Myerse-Perry black holes, A generalized Beraha conjecture for non-planar graphs

Uses Software

• ARPACK
• OEIS

Cites Work

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