CRITICAL EXPONENTS OF THE 3D ANTIFERROMAGNETIC THREE-STATE POTTS MODEL USING THE COHERENT-ANOMALY METHOD

M. Kolesik; M. Suzuki

doi:10.1016/0378-4371(95)00086-M

CRITICAL EXPONENTS OF THE 3D ANTIFERROMAGNETIC THREE-STATE POTTS MODEL USING THE COHERENT-ANOMALY METHOD

Condensed Matter 2015-06-25 v2

Authors: M. Kolesik , M. Suzuki

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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 $\alpha=-0.011$ , $\beta= 0.351$ , $\gamma= 1.309$ and $\delta= 4.73$ . This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class.

Keywords

antiferromagnetic Potts model coherent-anomaly method critical exponents XY universality class Monte Carlo simulations

Cite

@article{arxiv.cond-mat/9502092,
  title  = {CRITICAL EXPONENTS OF THE 3D ANTIFERROMAGNETIC THREE-STATE POTTS MODEL USING THE COHERENT-ANOMALY METHOD},
  author = {M. Kolesik and M. Suzuki},
  journal= {arXiv preprint arXiv:cond-mat/9502092},
  year   = {2015}
}

Comments

11 pages, latex, 1 postscript figure, changes: an incorrect reference omitted

CRITICAL EXPONENTS OF THE 3D ANTIFERROMAGNETIC THREE-STATE POTTS MODEL USING THE COHERENT-ANOMALY METHOD

Abstract

Keywords

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