Monte Carlo study of the antiferromagnetic three-state Potts model with staggered polarization field on the square lattice

Abstract

Using the Wang-Landau Monte Carlo method, we study the antiferromagnetic (AF) three-state Potts model with a staggered polarization field on the square lattice. We obtain two phase transitions; one belongs to the ferromagnetic three-state Potts universality class, and the other to the Ising universality class. The phase diagram obtained is quantitatively consistent with the transfer matrix calculation. The Ising transition in the large nearest-neighbor interaction limit has been made clear by the detailed analysis of the energy density of states.

arXiv commentaccepted for publication in J. Phys. A

References in corpus (15)

• An efficient, multiple range random walk algorithm to calculate the density of states
• Multicanonical Ensemble: A New Approach to Simulate First-order Phase Transitions
• Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
• Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
• Correlation functions of the 2D sine-Gordon model
• Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm
• Antiferromagnetic Potts Models on the Square Lattice: A High-Precision Monte Carlo Study
• The 3-State Square-Lattice Potts Antiferromagnet at Zero Temperature
• A constrained Potts antiferromagnet model with an interface representation
• Ground State Entropy and the $q=3$ Potts Antiferromagnet on the Honeycomb Lattice
• Ground State Entropy of Potts Antiferromagnets and the Approach to the 2D Thermodynamic Limit
• Cumulants of the three state Potts model and of nonequilibrium models with C3v symmetry
• Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice
• Level spectroscopy of the square-lattice three-state Potts model with a ferromagnetic next-nearest-neighbor coupling
• Phase Diagram of the Square-Lattice Three-State Potts Antiferromagnet with Staggered Polarization Field

Cited by in corpus (5)

• Difference of energy density of states in the Wang-Landau algorithm
• On the non-convergence of the Wang-Landau algorithms with multiple random walkers
• Intrinsic convergence properties of entropic sampling algorithms
• Global phase diagram and six-state clock universality behavior in the triangular antiferromagnetic Ising model with anisotropic next-nearest-neighbor coupling: Level-spectroscopy approach
• Phase transition of two-dimensional generalized XY model