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Critical behaviour in three-state Potts antiferromagnets on a Bethe lattice

Fulvio Peruggi, Francesco di Liberto, Gabriella Monroy

Physica A Statistical Mechanics and its ApplicationsMay 1, 198514 citations

Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method

Miroslav Kolesik, Masuo Suzuki

arXiv:cond-mat/9502092Physica A Statistical Mechanics and its ApplicationsJul 1, 199513 citations

TheXY model and the three-state antiferromagnetic Potts model in three dimensions: Critical properties from fluctuating boundary conditions

Aloysius P. Gottlob, Martin Hasenbusch

arXiv:cond-mat/9406092Journal of Statistical PhysicsNov 1, 199429 citations

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

Hiromi Otsuka, Yutaka Okabe

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.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.

arXiv:cond-mat/0408444Physical Review LettersSep 14, 20049 citations

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

Yutaka Okabe, Hiromi Otsuka

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-neighbour interaction limit has been made clear by the detailed analysis of the energy density of states.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-neighbour interaction limit has been made clear by the detailed analysis of the energy density of states.

arXiv:cond-mat/0606225Journal of Physics A Mathematical and GeneralJul 5, 200610 citations

Phase transitions of the three-state antiferromagnetic Potts model in three dimensions

Ryo Kishi, Yotaro Ueno, 上野陽太郎

Jan 1, 19980 citations

Crossover of Criticality in a Three-State Potts Antiferromagnet with a Staggered Polarization Field

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Crossover of Criticality in a Three-State Potts Antiferromagnet with a Staggered Polarization Field

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