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

1998/11/16 by Herbert Spohn, Wilhelm Zwerger · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Dimension (graph theory) #Ferromagnetism #Function (biology) #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #Spin (aerodynamics) #Spin glass #Theoretical and Computational Physics #Type (biology) #cond-mat.stat-mech

paper · pdf · doi:10.1023/a:1004595419419

to be published in Journ. Stat. Physics

arxiv created 1998/11/16 · openalex publication_date 1999/03/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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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