A constrained Potts antiferromagnet model with an interface representation

Details A constrained Potts antiferromagnet model with an interface representation A constrained Potts antiferromagnet model with an interface representation

1997-08-21

arxiv.org/abs/cond-mat/9708171v1

Physics

Condensed Matter

Statistical Mechanics

61 pages, LaTeX. Submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/30/24/007

We define a four-state Potts model ensemble on the square lattice, with the constraints that neighboring spins must have different values, and that no plaquette may contain all four states. The spin configurations may be mapped into those of a 2-dimensional interface in a 2+5 dimensional space. If this interface is in a Gaussian rough phase (as is the case for most other models with such a mapping), then the spin correlations are critical and their exponents can be related to the stiffness governing the interface fluctuations. Results of our Monte Carlo simulations show height fluctuations with an anomalous dependence on wavevector, intermediate between the behaviors expected in a rough phase and in a smooth phase; we argue that the smooth phase (which would imply long-range spin order) is the best interpretation.

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