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Phys. Rev. Lett. 26, 303–304 (1971)

Extension of the Lee-Yang Circle Theorem

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David Ruelle*,†
Institute for Advanced Study, Princeton, New Jersey 08540

See Also: Erratum

Received 7 December 1970; published in the issue dated 8 February 1971

We study the zeros of the partition function of a classical spin system and compute a region of the complex fugacity plane where they necessarily lie. We recover the Lee-Yang circle theorem as a special example; we also find that a spin system with finite-range interaction has no phase transition at high temperature.

© 1971 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.26.303
DOI:
10.1103/PhysRevLett.26.303
PACS:

*On leave of absence from Institut des Hautes Etudes Scientifiques, 91 Bures-sur-Yvette, France.

Research sponsored by the Alfred P. Sloan Foundation.

See Also

Erratum: David Ruelle, Extension of the Lee-Yang Circle Theorem, Phys. Rev. Lett. 26, 870 (1971).