Ground state entropy of the Potts antiferromagnet on triangular lattice strips.

DOI10.1006/aphy.2001.6143zbMath1046.82505arXivcond-mat/0004129OpenAlexW3105241367MaRDI QIDQ5944141

Shu-Chiuan Chang, Robert Shrock

Publication date: 2001

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0004129

zbMATH Keywords

zero-temperature partition function\(q\)-state Potts antiferromagnetexact calculationstriangular lattice strips

Mathematics Subject Classification ID

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

Related Items (8)

Phase diagram of the triangular-lattice Potts antiferromagnet ⋮ Tutte polynomials and related asymptotic limiting functions for recursive families of graphs ⋮ Phase diagram of the chromatic polynomial on a torus ⋮ Exact chromatic polynomials for toroidal chains of complete graphs ⋮ 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 ⋮ General structural results for Potts model partition functions on lattice strips

Cites Work

• Is the four-color conjecture almost false?
• On the roots of chromatic polynomials
• Exact Potts model partition function on strips of the triangular lattice
• Approximations for chromatic polynomials
• \(T=0\) partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology
• Recursive families of graphs
• Chromatic polynomials of large triangular lattices
• Colouring Square Lattice Graphs
• A Zero-Free Interval for Chromatic Polynomials of Graphs
• Complex-temperature properties of the Ising model on 2D heteropolygonal lattices
• The Zero-Free Intervals for Chromatic Polynomials of Graphs
• Ground state entropy of Potts antiferromagnets on cyclic polygon chain graphs
• Antiferromagnetism. The Triangular Ising Net
• A new 5‐arc‐transitive cubic graph
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