Phase Diagram of the Square-Lattice Three-State Potts Antiferromagnet with Staggered Polarization Field

Abstract

We study a square-lattice three-state Potts antiferromagnet with a staggered polarization field at finite temperature. Numerically treating the transfer matrices, we determine two phase boundaries separating the model-parameter space into three parts. We confirm that one of them belongs to the ferromagnetic three-state Potts criticality, which is in accord with a recent prediction, and another to the Ising type; these are both corresponding to the massless renormalization-group flows stemming from the Gaussian fixed points. We also discuss a field theory to describe the latter Ising transition.

4 pages, 2 figures

References in corpus (8)

• Criticality in self-dual sine-Gordon models
• Critical frontier of the triangular antiferromagnet in a field
• Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice
• Z_3 Quantum Criticality in a spin-1/2 chain model
• Quarter-filled extended Hubbard model with alternating transfer integral: Two-dimensional Ising transition in the ground state
• Sine-Gordon description of the scaling three-state Potts antiferromagnet on the square lattice
• Crossover behavior of the J1-J2 model in a staggered magnetic field
• Finite-size investigation of scaling corrections in the square-lattice three-state Potts antiferromagnet square-lattice three-state Potts antiferromagnet

Cited by in corpus (7)

• The "not-A", RSPT and Potts phases in an $S_3$-invariant chain
• Classifying Potts critical lines
• Level spectroscopy of the square-lattice three-state Potts model with a ferromagnetic next-nearest-neighbor coupling
• Monte Carlo study of the antiferromagnetic three-state Potts model with staggered polarization field on the square lattice
• Global phase diagram and six-state clock universality behavior in the triangular antiferromagnetic Ising model with anisotropic next-nearest-neighbor coupling: Level-spectroscopy approach
• Fractional S^z excitation and its bound state for the S=1/2 antiferromagnetic zigzag spin chain in a magnetic field
• Berezinskii-Kosterlitz-Thouless phase transitions of the antiferromagnetic Ising model with ferromagnetic next-nearest-neighbor interactions on the kagome lattice