Ground state entropy of Potts antiferromagnets on cyclic polygon chain graphs

DOI10.1088/0305-4470/32/27/306zbMath0938.82023arXivcond-mat/9905431OpenAlexW2008427621MaRDI QIDQ4947662

Robert Shrock, Shan-Ho Tsai

Publication date: 25 April 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9905431

zbMATH Keywords

\(q\)-state Potts antiferromagnetcyclic graphschromatic polynomials\(q\)-state Potts modelground state entropy

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Critical phenomena in equilibrium statistical mechanics (82B27) Coloring of graphs and hypergraphs (05C15)

Related Items (11)

q-plane zeros of the Potts partition function on diamond hierarchical graphs ⋮ Exact chromatic polynomials for toroidal chains of complete graphs ⋮ Chromatic polynomials for lattice strips with cyclic boundary conditions ⋮ Structural properties of Potts model partition functions and chromatic polynomials for lattice strips ⋮ Exact Potts model partition functions on strips of the honeycomb lattice ⋮ Exact Potts model partition functions on wider arbitrary-length strips of the square lattice ⋮ Ground state entropy of the Potts antiferromagnet on triangular lattice strips. ⋮ Zeros of Jones polynomials for families of knots and links ⋮ Potts model partition functions for self-dual families of strip graphs ⋮ \(T=0\) partition functions for Potts antiferromagnets on lattice strips with fully periodic boundary conditions ⋮ Ground state entropy of the Potts antiferromagnet on strips of the square lattice

Cites Work

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