ON THE LOW-TEMPERATURE ORDERING OF THE 3D ATIFERROMAGNETIC THREE-STATE POTTS MODEL

Abstract

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using Monte Carlo simulations. The ordering in a medium temperature range below the critical point is investigated in detail. Two different regimes have been observed: The so-called broken sublattice-symmetry phase dominates at sufficiently low temperatures, while the phase just below the critical point is characterized by an effectively continuous order parameter and by a fully restored rotational symmetry. However, the later phase is not the permutationally sublattice symmetric phase recently predicted by the cluster variation method.

20 pages with 9 figures in a single postscript file (compressed and uuencoded by uufiles -gz -9) plus two big figures in postscript files

References in corpus (2)

• 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

Cited by in corpus (9)

• Three-dimensional antiferromagnetic q-state Potts models: application of the Wang-Landau algorithm
• Antiferromagnetic Potts Models on the Square Lattice: A High-Precision Monte Carlo Study
• A constrained Potts antiferromagnet model with an interface representation
• A projection method for statics and dynamics of lattice spin systems
• Randomly dilute spin models with cubic symmetry
• Partition function zeros of the Q-state Potts model on the simple-cubic lattice
• Ordered phase and phase transitions in the three-dimensional generalized six-state clock 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