Triplet order parameters in triangular and honeycomb Ising models
- 1 October 1977
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 10 (10) , 1737-1743
- https://doi.org/10.1088/0305-4470/10/10/008
Abstract
It is shown that the ratios of certain triplet order parameters to magnetisation in honeycomb and diamond lattice Ising models can be easily calculated. Applying the star-triangle transformation reproduces the result obtained by Baxter (see ibid., vol.8, p.1797 (1975)) on the triangular lattice. The new derivation indicates that exact solutions for triplet order parameters are of only limited use as checks on series expansions.Keywords
This publication has 20 references indexed in Scilit:
- Crystal growth models and Ising models. II. Constraints on high-field expansionsJournal of Physics A: General Physics, 1977
- Crystal growth models and Ising models: Disorder pointsJournal of Physics C: Solid State Physics, 1977
- On the critical behaviour of triplet order parameters and susceptibilities in Ising modelsJournal of Physics A: General Physics, 1976
- Triplet order parameter of the triangular Ising modelJournal of Physics A: General Physics, 1975
- Magnetization of the three-spin triangular Ising modelJournal of Physics A: General Physics, 1975
- Series expansions for the Potts model. II. Partial generating functions in two dimensionsJournal of Physics A: Mathematical, Nuclear and General, 1974
- Series expansions for the Potts model: high-field expansionsJournal of Physics A: Mathematical, Nuclear and General, 1974
- Gibbs and Markov random systems with constraintsJournal of Statistical Physics, 1974
- A Theorem about Random FieldsBulletin of the London Mathematical Society, 1973
- The Description of a Random Field by Means of Conditional Probabilities and Conditions of Its RegularityTheory of Probability and Its Applications, 1968