Rigorous Results for Ising Ferromagnets of Arbitrary Spin
- 1 September 1969
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 10 (9) , 1559-1565
- https://doi.org/10.1063/1.1665005
Abstract
The following results for spin‐½ Ising ferromagnets are extended to the case of arbitrary spin: (1) the theorem of Lee and Yang, that the zeros of the partition function lie on the unit circle in the complex fugacity plane; (2) inequalities of the form <AB> ≥ <A><B>, where A and B are products of spin operators; (3) the existence of spontaneous magnetization on suitable lattices. Results (2) and (3) are also extended to the infinite‐spin limit in which the spin variable is continuous on the interval −1 ≤ x ≤ 1.Keywords
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