Two phase transitions in triplet Ising models
- 28 January 1977
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 10 (2) , L23-L27
- https://doi.org/10.1088/0022-3719/10/2/001
Abstract
It is shown that the three-spin Ising model on a triangulated dice lattice is equivalent to an Ashkin-Teller model. It is concluded from the expected critical behaviour of the Ashkin-Teller model that the triplet model exhibits two phase transitions. Generalization of the consideration to other lattices and a suggestion on the possible order parameters associated with the transitions are given.Keywords
This publication has 16 references indexed in Scilit:
- High-temperature spontaneous magnetization of models with pure triplet interactionsJournal of Physics A: General Physics, 1975
- A self-dual point for triangular Ashkin-Teller modelsJournal of Physics A: General Physics, 1975
- Exact solution in an external magnetic field of Ising models with three-spin interactionsPhysical Review B, 1974
- Ising Model on a Triangular Lattice with Three-spin Interactions. I. Free Energy and Correlation LengthAustralian Journal of Physics, 1974
- Ising Model on a Triangular Lattice with Three-spin Interactions. I. The Eigenvalue EquationAustralian Journal of Physics, 1974
- Exact Solution of an Ising Model with Three-Spin Interactions on a Triangular LatticePhysical Review Letters, 1973
- Exact solution of a two dimensional Ising model with pure 3 spin interactionsPhysics Letters A, 1972
- On critical properties of the Ashkin-Teller modelPhysics Letters A, 1972
- The Statistical Problem in Cooperative PhenomenaReviews of Modern Physics, 1945
- Statistics of Two-Dimensional Lattices with Four ComponentsPhysical Review B, 1943