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

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

1995-02-22

arxiv.org/abs/cond-mat/9502092v2

Physics

Condensed Matter

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

Scientific paper

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.

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