The 3-State Square-Lattice Potts Antiferromagnet at Zero Temperature
arXiv:cond-mat/9801079 · doi:10.1023/A:1023002322985
Abstract
We study the 3-state square-lattice Potts antiferromagnet at zero temperature by a Monte Carlo simulation using the Wang-Swendsen-Kotecký cluster algorithm, on lattices up to . We confirm the critical exponents predicted by Burton and Henley based on the height representation of this model.
23 pages (LaTeX). Self-unpacking file containing the tex file and three macros (indent.sty, eqsection.sty and subeqnarray.sty)
References in corpus (2)
Cited by in corpus (39)
- Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
- Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models I. General Theory and Square-Lattice Chromatic Polynomial
- Antiferromagnetic Potts Models on the Square Lattice: A High-Precision Monte Carlo Study
- Spanning forests and the q-state Potts model in the limit q \to 0
- Corrections to Finite-Size Scaling in the Lattice N-Vector Model for Infinite N
- Partial order and finite-temperature phase transitions in Potts models on irregular lattices
- Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models II. Extended Results for Square-Lattice Chromatic Polynomial
- Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models III. Triangular-Lattice Chromatic Polynomial
- A Personal List of Unsolved Problems Concerning Lattice Gases and Antiferromagnetic Potts Models
- Density of states, Potts zeros, and Fisher zeros of the Q-state Potts model for continuous Q
- Surface criticality of antiferromagnetic Potts model
- Finite-temperature phase transition in a class of 4-state Potts antiferromagnets
- Phase transition in the 3-state Potts antiferromagnet on the diced lattice
- Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice
- Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q
- Field-induced Ordering in Critical Antiferromagnets
- Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. V. Further Results for the Square-Lattice Chromatic Polynomial
- The Hintermann-Merlini-Baxter-Wu and the Infinite-Coupling-Limit Ashkin-Teller Models
- Critical properties of the three- and four-dimensional gauge glass
- Partial long-range order in antiferromagnetic Potts models
- Emergent O(n) Symmetry in a series of three-dimensional Potts Models
- The three-state Potts antiferromagnet on plane quadrangulations
- Monte Carlo study of the antiferromagnetic three-state Potts model with staggered polarization field on the square lattice
- Reentrance of Berezinskii-Kosterlitz-Thouless-like transitions in three-state Potts antiferromagnetic thin film
- Phase Diagram of the Square-Lattice Three-State Potts Antiferromagnet with Staggered Polarization Field
- Sine-Gordon description of the scaling three-state Potts antiferromagnet on the square lattice
- The phase diagram for the bisected-hexagonal-lattice five-state Potts antiferromagnet
- Duality and the universality class of the three-state Potts antiferromagnet on plane quadrangulations
- The three-state Potts model on the centered triangular lattice
- Field theory of scaling lattice models. The Potts antiferromagnet
- Size dependence of the internal energy in Ising and vector spin glasses
- From hard spheres to hard-core spins
- Universality of the Crossing Probability for the Potts Model for q=1,2,3,4
- The Nonclassical Regime of the Two-dimensional Long-range XY Model: a Comprehensive Monte Carlo Study
- Ergodicity of the Wang--Swendsen--Kotecký algorithm on several classes of lattices on the torus
- Overlap of two topological phases in the antiferromagnetic Potts model
- Finite-size investigation of scaling corrections in the square-lattice three-state Potts antiferromagnet square-lattice three-state Potts antiferromagnet
- The Tails of the Crossing Probability
- The Blume-Emery-Griffiths model at the FAD and AD interfaces