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

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  • Kolesik, Miroslav
  • Suzuki, Masuo

Abstract

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class, namely α = −0.011, β = 0.351, γ = 1.309 and δ = 4.73. This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class.

Suggested Citation

  • Kolesik, Miroslav & Suzuki, Masuo, 1995. "Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(4), pages 469-477.
    • Handle: RePEc:eee:phsmap:v:216:y:1995:i:4:p:469-477
    DOI: 10.1016/0378-4371(95)00086-M
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    References listed on IDEAS

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    1. Suzuki, Masuo & Minami, Kazuhiko & Nonomura, Yoshihiko, 1994. "Coherent-anomaly method—recent development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 80-100.
    2. Gaaff, A. & Hijmans, J., 1975. "Symmetry relations in the sixteen-vertex model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 80(2), pages 149-171.
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