On the critical behaviour of triplet order parameters and susceptibilities in Ising models
- 1 June 1976
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 9 (6) , L61-L63
- https://doi.org/10.1088/0305-4470/9/6/004
Abstract
Using exact inequalities, it is proved, for d-dimensional Ising models with ferromagnetic pair interactions, that: (i) any triplet order parameter ( sigma 1 sigma 2 sigma 3) vanishes at the critical temperature with the same exponent as the conventional order parameter ( sigma 1); and (ii) the associated susceptibilities diverge as T to Tc from above with the same exponents. The first result confirms a recent conjecture of Wood and Griffiths (see ibid., vol.9, p.407, (1976)) based on series expansions.Keywords
This publication has 10 references indexed in Scilit:
- Triplet order parameters for three-dimensional Ising modelsJournal of Physics A: General Physics, 1976
- Triplet order parameter of the triangular Ising modelJournal of Physics A: General Physics, 1975
- Derivation of low-temperature series expansions for the Ising model with triplet interactions on the plane triangular latticeJournal of Physics A: General Physics, 1975
- GHS and other inequalitiesCommunications in Mathematical Physics, 1974
- Simplex transformations of the spin-1/2 Ising model. IJournal of Mathematical Physics, 1973
- Bounds on the correlations and analyticity properties of ferromagnetic Ising spin systemsCommunications in Mathematical Physics, 1972
- A self dual relation for an Ising model with triplet interactionsJournal of Physics C: Solid State Physics, 1972
- Concavity of Magnetization of an Ising Ferromagnet in a Positive External FieldJournal of Mathematical Physics, 1970
- General Griffiths' Inequalities on Correlations in Ising FerromagnetsJournal of Mathematical Physics, 1968
- Correlations in Ising Ferromagnets. IJournal of Mathematical Physics, 1967