Critical antiferromagnetic square-lattice Potts model
- 8 September 1982
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 383 (1784) , 43-54
- https://doi.org/10.1098/rspa.1982.0119
Abstract
The critical temperature of the antiferromagnetic q-state Potts model on the square lattice is located, and the critical free energy and internal energy are evaluated. As with the ferromagnetic model, the transition is continuous for $q \leqslant 4$, and is first-order (i.e. has latent heat) for $q > 4$. However, only for $q \leqslant 3$ can the critical temperature be real. For the isotropic model the criticality condition is exp (J/kT) = -1 + (4-q)$^\frac{1}{2}$.
Keywords
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