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

Hiromi Otsuka·Yutaka Okabe
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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.

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Hiromi Otsuka, Yutaka Okabe. 2004-10-04. Phase Diagram of the Square-Lattice Three-State Potts Antiferromagnet with Staggered Polarization Field. https://doi.org/10.1103/physrevlett.93.120601

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