Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-01-12
J.Statist.Phys. 105 (2001) 25-47
Physics
Condensed Matter
Statistical Mechanics
LaTeX, 25 pages, includes 9 figures. Version 2 includes a new footnote 3. To appear in J. Stat. Phys
Scientific paper
At zero temperature, the 3-state antiferromagnetic Potts model on a square lattice maps exactly onto a point of the 6-vertex model whose long-distance behavior is equivalent to that of a free scalar boson. We point out that at nonzero temperature there are two distinct types of excitation: vortices, which are relevant with renormalization-group eigenvalue 1/2; and non-vortex unsatisfied bonds, which are strictly marginal and serve only to renormalize the stiffness coefficient of the underlying free boson. Together these excitations lead to an unusual form for the corrections to scaling: for example, the correlation length diverges as \beta \equiv J/kT \to \infty according to \xi \sim A e^{2\beta} (1 + b\beta e^{-\beta} + ...), where b is a nonuniversal constant that may nevertheless be determined independently. A similar result holds for the staggered susceptibility. These results are shown to be consistent with the anomalous behavior found in the Monte Carlo simulations of Ferreira and Sokal.
Cardy John
Jacobsen Jesper Lykke
Sokal Alan D.
No associations
LandOfFree
Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-470735