The 3-State Potts Antiferromagnet on the Hexagonal Lattice

Abstract

We study the 3-state hexagonal-lattice Potts antiferromagnet by a Monte Carlo simulation using the Wang-Swendsen-Kotecky cluster algorithm. We study the staggered susceptibility and the correlation length, and we confirm that this model is disordered at all temperatures T>=0. We also measure the ground-state entropy density.

16 pages (LaTeX). Self-unpacking file containing the tex file, four macros (indent.sty, eqsection.sty, subeqnarray.sty and epsf.sty), and three postscript files (hexagonal.ps, plot_hex_3_m2.ps and plot_hex_3_xi.ps)

References in corpus (4)

• The two-point correlation function of three-dimensional O(N) models: critical limit and anisotropy
• A constrained Potts antiferromagnet model with an interface representation
• Upper and Lower Bounds for Ground State Entropy of Antiferromagnetic Potts Models
• Ground State Entropy of Potts Antiferromagnets: Bounds, Series, and Monte Carlo Measurements

Cited by in corpus (8)

• The 3-State Square-Lattice Potts Antiferromagnet at Zero Temperature
• Exact Potts Model Partition Functions on Strips of the Honeycomb Lattice
• Partial long-range order in antiferromagnetic Potts models
• The Hintermann-Merlini-Baxter-Wu and the Infinite-Coupling-Limit Ashkin-Teller Models
• The three-state Potts antiferromagnet on plane quadrangulations
• Reentrance of Berezinskii-Kosterlitz-Thouless-like transitions in three-state Potts antiferromagnetic thin film
• The phase diagram for the bisected-hexagonal-lattice five-state Potts antiferromagnet
• The three-state Potts model on the centered triangular lattice