The three-state Potts antiferromagnet on plane quadrangulations

DOI10.1088/1751-8121/aad1fezbMath1400.82052arXiv1804.08911OpenAlexW2798376445WikidataQ58082008 ScholiaQ58082008MaRDI QIDQ4689521

Youjin Deng, Jianping Lv, Jesper Lykke Jacobsen, Jesús Salas

Publication date: 16 October 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08911

zbMATH Keywords

transfer matrixdualityMonte Carlo simulationplane quadrangulationcritical polynomialPotts antiferromagnetWang-Swendsen-Koteky algorithm

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40)

Related Items (4)

Critical points in coupled Potts models and correlated percolation ⋮ Comprehensive studies on the universality of BKT transitions—machine-learning study, Monte Carlo simulation, and level-spectroscopy method ⋮ Critical lines in the pure and disordered O(N) model ⋮ Ergodicity of the Wang–Swendsen–Kotecký algorithm on several classes of lattices on the torus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tilings of rectangles with T-tetrominoes
• Dynamic critical behavior of the Chayes-Machta algorithm for the random-cluster model. I: Two dimensions
• Conformal field theory
• Polygons, polyominoes and polycubes
• Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
• Dynamical critical behavior of the Swendson-Wang algorithm: The two-dimensional three-state Potts model revisited
• Relaxation time for a dimer covering with height representation
• New two-color dimer models with critical ground states
• Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem
• Transfer matrices and partition-function zeros for antiferromagnetic Potts models. III: Triangular-lattice chromatic polynomial
• Field theory of compact polymers on the square lattice
• Height representation, critical exponents, and ergodicity in the four-state triangular Potts antiferromagnet
• The three-state square-lattice Potts antiferromagnet at zero temperature.
• Conformal invariance of domino tiling.
• Kac-Moody symmetries of critical ground states
• Antiferromagnetic Potts models on the square lattice: A high-precision Monte Carlo study
• Phase diagram of the chromatic polynomial on a torus
• Entropy-driven phase transition in low-temperature antiferromagnetic Potts models
• Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus
• Computing Tutte Polynomials
• Potts-model critical manifolds revisited
• A tree-decomposed transfer matrix for computing exact Potts model partition functions for arbitrary graphs, with applications to planar graph colourings
• Conway's Tiling Groups
• Tetromino tilings and the Tutte polynomial
• Critical points of Potts and O(N) models from eigenvalue identities in periodic Temperley–Lieb algebras
• The 3-state Potts antiferromagnet on the hexagonal lattice
• A constrained Potts antiferromagnet model with an interface representation
• Three-state Potts antiferromagnet on the triangular lattice
• Operator spectrum and exact exponents of the fully packed loop model
• Gauge model for the excess cosmic microwave background
• Critical manifold of the kagome-lattice Potts model
• Transfer matrix computation of generalized critical polynomials in percolation
• The critical manifolds of inhomogeneous bond percolation on bow-tie and checkerboard lattices
• Transfer matrix computation of critical polynomials for two-dimensional Potts models
• A new Kempe invariant and the (non)-ergodicity of the Wang–Swendsen–Kotecký algorithm
• High-precision percolation thresholds and Potts-model critical manifolds from graph polynomials
• A Guide to Monte Carlo Simulations in Statistical Physics
• Transfer matrices and partition-function zeros for antiferromagnetic Potts models. I: General theory and square-lattice chromatic polynomial.
• Transfer matrices and partition-function zeros for antiferromagnetic Potts models. II: Extended results for square-lattice chromatic polynomial.

This page was built for publication: The three-state Potts antiferromagnet on plane quadrangulations