A general Lee-Yang theorem for one-component and multicomponent ferromagnets
- Cite this article as:
- Lieb, E.H. & Sokal, A.D. Commun.Math. Phys. (1981) 80: 153. doi:10.1007/BF01213009
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We show that any measure on ℝn possessing the Lee-Yang property retains that property when multiplied by a ferromagnetic pair interaction. Newman's Lee-Yang theorem for one-component ferromagnets with general single-spin measure is an immediate consequence. We also prove an analogous result for two-component ferromagnets. ForN-component ferromagnets (N ≧ 3), we prove a Lee-Yang theorem when the interaction is sufficiently anisotropic.