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

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.

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

References in corpus (3)

• The XY Model and the Three-state Antiferromagnetic Potts model in Three Dimensions: Critical Properties from Fluctuating Boundary Conditions
• Three-State Anti-ferromagnetic Potts Model in Three Dimensions: Universality and Critical Amplitudes
• Accurate Estimates of 3D Ising Critical Exponents Using the Coherent-Anomaly Method

Cited by in corpus (9)

• Ordered phase and scaling in $Z_n$ models and the three-state antiferromagnetic Potts model in three dimensions
• The universality of synchrony: critical behavior in a discrete model of stochastic phase coupled oscillators
• Randomly dilute spin models with cubic symmetry
• The isotropic-nematic transition for hard rods on a three--dimensional (3D) cubic lattice
• Classical Monte Carlo study for antiferro quadrupole orders in a diamond lattice
• Properties of Higher-Order Phase Transitions
• Rotationally symmetric ordered phase in the three-state antiferromagnetic Potts model
• On the low-temperature phase of the three-state antiferromagnetic Potts model on the simple cubic lattice
• Mean-Field Analysis of Antiferromagnetic Three-State Potts Model with Next Nearest Neighbor Interaction