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An application of the GHS inequalities to show the absence of phase transition for Ising spin systems

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Abstract

We show that the GHS inequalities can be used instead of the Lee-Yang circle theorem to prove that there is no phase transition for the ν-dimensional Ising model in the presence of a (non-zero) external field.

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Authors and Affiliations

  1. Mathematical Institute, Oxford, UK

    C. J. Preston

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  1. C. J. Preston
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Communicated by G. Gallavotti

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Preston, C.J. An application of the GHS inequalities to show the absence of phase transition for Ising spin systems. Commun.Math. Phys. 35, 253–255 (1974). https://doi.org/10.1007/BF01646196

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  • DOI: https://doi.org/10.1007/BF01646196

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