Communications in Mathematical Physics

, Volume 100, Issue 3, pp 447–462

Long range order in the anisotropic quantum ferromagnetic Heisenberg model

  • Tom Kennedy

DOI: 10.1007/BF01206139

Cite this article as:
Kennedy, T. Commun.Math. Phys. (1985) 100: 447. doi:10.1007/BF01206139


We study the anisotropic quantum mechanical ferromagnetic Heisenberg model. By anisotropic we mean that thex andy exchange constants are equal but smaller than thez exchange constant. We show that for any amount of anisotropy there is long range order in two or more dimensions at low enough temperature. We also develop a convergent low temperature expansion and use it to prove exponential decay of the truncated correlation functions.

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Tom Kennedy
    • 1
  1. 1.Department of PhysicsPrinceton UniversityPrincetonUSA

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