\(T=0\) partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology

DOI10.1016/S0375-9601(99)00611-8zbMath0955.82012arXivcond-mat/9908323MaRDI QIDQ1966980

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9908323

Mathematics Subject Classification ID

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

Related Items (20)

Structure of the partition function and transfer matrices for the Potts model in a magnetic field on lattice strips ⋮ Tutte polynomials and related asymptotic limiting functions for recursive families of graphs ⋮ q-plane zeros of the Potts partition function on diamond hierarchical graphs ⋮ Galois groups of chromatic polynomials ⋮ Exact chromatic polynomials for toroidal chains of complete graphs ⋮ EXACT PARTITION FUNCTION FOR THE POTTS MODEL WITH NEXT-NEAREST NEIGHBOR COUPLINGS ON ARBITRARY-LENGTH LADDERS ⋮ 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 ⋮ A little statistical mechanics for the graph theorist ⋮ 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 ⋮ Close-packed dimers on nonorientable surfaces ⋮ Asymptotic behavior of acyclic and cyclic orientations of directed lattice graphs ⋮ Exact Potts model partition function on strips of the triangular lattice ⋮ \(T=0\) partition functions for Potts antiferromagnets on lattice strips with fully periodic boundary conditions ⋮ General structural results for Potts model partition functions on lattice strips ⋮ Ground state entropy of the Potts antiferromagnet on strips of the square lattice

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