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

preprint1998arXivOpen access

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 provided that N=1,2,3,4 and T > T_c.

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