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

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.