The correlation length of the Potts model at the first-order transition point
- 7 July 1993
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 26 (13) , 3045-3062
- https://doi.org/10.1088/0305-4470/26/13/009
Abstract
The authors consider the Q-state two-dimensional Potts model for Q<g, i.e. in the first order phase transition regime. Following a scheme given by P. Martin (1991), the authors prove an identity between the spectra of the transfer matrices of the Potts model and the transfer matrices connecting the diagonals of a 6-vertex model. By using a Bethe ansatz for the latter, they obtain an exact expression for the correlation length of the Potts model at the transition point.Keywords
This publication has 10 references indexed in Scilit:
- INVESTIGATION OF EXCITATION SPECTRA OF EXACTLY SOLVABLE MODELS USING INVERSION RELATIONSInternational Journal of Modern Physics B, 1990
- Monte Carlo study of finite-size effects at a weakly first-order phase transitionPhysical Review B, 1989
- Inversion relations, phase transitions and transfer matrix excitations for special spin models in two dimensionsZeitschrift für Physik B Condensed Matter, 1989
- Surface free energy of the critical six-vertex model with free boundariesJournal of Physics A: General Physics, 1989
- Index for subfactorsInventiones Mathematicae, 1983
- Erratum: The Potts modelReviews of Modern Physics, 1983
- The Potts modelReviews of Modern Physics, 1982
- Critical properties of two-dimensional modelsPhysical Review B, 1981
- Vertical-Arrow Correlation Length in the Eight-Vertex Model and the Low-Lying Excitations of theHamiltonianPhysical Review A, 1973
- Some generalized order-disorder transformationsMathematical Proceedings of the Cambridge Philosophical Society, 1952