Antiferromagnetic Potts Models on the Square Lattice

Details Antiferromagnetic Potts Models on the Square Lattice Antiferromagnetic Potts Models on the Square Lattice

1994-05-17

arxiv.org/abs/hep-lat/9405015v1

Phys.Rev. B51 (1995) 6727-6730

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages including 6 figures, 288527 bytes Postscript (NYU-TH-94/05/01)

Scientific paper

10.1103/PhysRevB.51.6727

We study the antiferromagnetic $q$-state Potts model on the square lattice for $q=3$ and $q=4$, using the Wang-Swendsen-Koteck\'y Monte Carlo algorithm and a new finite-size-scaling extrapolation method. For $q=3$ we obtain good control up to correlation length $\xi \sim 5000$; the data are consistent with $\xi(\beta) = A e^{2\beta} \beta (1 + a_1 e^{-\beta} + \ldots)$ as $\beta\to\infty$. For $q=4$ the model is disordered even at zero temperature.

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