Disorder solutions for Ising and Potts models with a field
- 21 August 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (12) , 2271-2277
- https://doi.org/10.1088/0305-4470/18/12/025
Abstract
The exact expressions of the disorder varieties and the corresponding values taken by the partition functions of the checkerboard Ising and Potts models with a magnetic field are obtained. Different specialisations and extensions of these exact results are examined.Keywords
This publication has 14 references indexed in Scilit:
- A criterion for disorder solutions of spin modelsJournal of Physics A: General Physics, 1985
- New Exact Results for the Potts ModelPhysical Review Letters, 1985
- Disorder points of the IRF and checkerboard Potts modelsJournal of Physics A: General Physics, 1984
- Order and disorder lines in systems with competing interactions. III. Exact results from stochastic crystal growthJournal of Statistical Physics, 1984
- Exact results for the Potts model in two dimensionsJournal of Statistical Physics, 1978
- Crystal growth models and Ising models. IV. Graphical solutions for correlationsJournal of Physics A: General Physics, 1978
- Crystal growth models and Ising models. III. Zero-field susceptibilities and correlationsJournal of Physics A: General Physics, 1978
- Triangular Potts model at its transition temperature, and related modelsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978
- Triplet order parameters in triangular and honeycomb Ising modelsJournal of Physics A: General Physics, 1977
- Crystal growth models and Ising models. II. Constraints on high-field expansionsJournal of Physics A: General Physics, 1977