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

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

2004-08-20

arxiv.org/abs/cond-mat/0408444v2

Phys. Rev. Lett. 93, 120601 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.93.120601

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.

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