Complex-temperature phase diagram of Potts and RSOS models

DOI10.1016/j.nuclphysb.2006.02.033zbMath1214.82017arXivcond-mat/0511059OpenAlexW2022791462WikidataQ58082454 ScholiaQ58082454MaRDI QIDQ879808

Jesús Salas, Jesper Lykke Jacobsen, Jean-Francois Richard

Publication date: 10 May 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0511059

zbMATH Keywords

quantum groupsPotts modelBeraha numberlimiting curveRSOS model

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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 (8)

Character decomposition of Potts model partition functions. I: Cyclic geometry ⋮ Phase diagram of the triangular-lattice Potts antiferromagnet ⋮ Transfer matrices and partition-function zeros for antiferromagnetic Potts models. VI. Square lattice with extra-vertex boundary conditions ⋮ Zeros of the 3-state Potts model partition function for the square lattice revisited ⋮ Phase diagram of the chromatic polynomial on a torus ⋮ A little statistical mechanics for the graph theorist ⋮ Counting colored planar maps: algebraicity results ⋮ A generalized Beraha conjecture for non-planar graphs

Cites Work

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• Three-Colorings of the Square Lattice: A Hard Squares Model
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• Transfer matrices and partition-function zeros for antiferromagnetic Potts models. I: General theory and square-lattice chromatic polynomial.

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