CRITICAL EXPONENTS OF THE 3D ANTIFERROMAGNETIC THREE-STATE POTTS MODEL USING THE COHERENT-ANOMALY METHOD
arXiv:cond-mat/9502092 · doi:10.1016/0378-4371(95)00086-M
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.
11 pages, latex, 1 postscript figure, changes: an incorrect reference omitted