Exact Potts model partition functions on strips of the honeycomb lattice

DOI10.1016/S0378-4371(01)00143-1zbMath0978.82020arXivcond-mat/0008477OpenAlexW3106313585WikidataQ113285185 ScholiaQ113285185MaRDI QIDQ5936864

Robert Shrock, Shu-Chiuan Chang

Publication date: 9 July 2001

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0008477

zbMATH Keywords

zero temperatureinfinite-length limitthermodynamic properties

Mathematics Subject Classification ID

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

Related Items (16)

On zero-free regions for the anti-ferromagnetic Potts model on bounded-degree graphs ⋮ ZEROS OF THE POTTS MODEL PARTITION FUNCTION IN THE LARGE-q LIMIT ⋮ PARTITION FUNCTION ZEROS OF A RESTRICTED POTTS MODEL ON SELF-DUAL STRIPS OF THE SQUARE LATTICE ⋮ Structure of the partition function and transfer matrices for the Potts model in a magnetic field on lattice strips ⋮ Tutte polynomial of pseudofractal scale-free web ⋮ Asymptotic behavior of spanning forests and connected spanning subgraphs on two-dimensional lattices ⋮ Exact Potts model partition functions for strips of the honeycomb lattice ⋮ Exact chromatic polynomials for toroidal chains of complete graphs ⋮ Chromatic polynomials for lattice strips with cyclic boundary conditions ⋮ Exact Potts model partition functions on wider arbitrary-length strips of the square lattice ⋮ A little statistical mechanics for the graph theorist ⋮ Zeros of Jones polynomials for families of knots and links ⋮ Potts model partition functions for self-dual families of strip graphs ⋮ Asymptotic behavior of acyclic and cyclic orientations of directed lattice graphs ⋮ DETERMINING THE COMPONENT NUMBER OF LINKS CORRESPONDING TO TRIANGULAR AND HONEYCOMB LATTICES ⋮ General structural results for Potts model partition functions on lattice strips

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