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Decay of the Two-Point Function in One-Dimensional O(N) Spin Models with Long-Range Interactions

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Abstract

Using Griffiths and Lieb–Simon type inequalities, it is shown that the two-point function of ferromagnetic spin models with N components in one dimension decays like the interaction J(n)∼n −γ provided that 1≤N≤4 and T>T c.

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Authors and Affiliations

  1. Zentrum Mathematik, Technische Universität München, D-80290, Munich, Germany

    Herbert Spohn & Wilhelm Zwerger

  2. Theoretische Physik, Ludwig-Maximilians-Universität, D-80333, Munich, Germany

    Wilhelm Zwerger

Authors
  1. Herbert Spohn
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  2. Wilhelm Zwerger
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Spohn, H., Zwerger, W. Decay of the Two-Point Function in One-Dimensional O(N) Spin Models with Long-Range Interactions. Journal of Statistical Physics 94, 1037–1043 (1999). https://doi.org/10.1023/A:1004595419419

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