When Is an Ising Magnet a Ferromagnet?
- 1 August 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (8) , 2480-2481
- https://doi.org/10.1063/1.1665413
Abstract
A subcollection of the correlation inequalities recently obtained by Ginibre for Ising ferromagnets is shown to be enough to guarantee that an Ising magnet in an external magnetic field with only 2‐body interactions is a ferromagnet. Thus, one has a necessary and sufficient set of correlation inequalities to guarantee that an Ising magnet in a nonnegative external magnetic field with only 2‐body interactions is a ferromagnet.Keywords
This publication has 4 references indexed in Scilit:
- Simple Proof and Generalization of Griffiths' Second InequalityPhysical Review Letters, 1969
- Cosets and ferromagnetic correlation inequalitiesCommunications in Mathematical Physics, 1969
- General Griffiths' Inequalities on Correlations in Ising FerromagnetsJournal of Mathematical Physics, 1968
- Correlations in Ising Ferromagnets. IJournal of Mathematical Physics, 1967