Long range order in the anisotropic quantum ferromagnetic Heisenberg model

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Abstract

We study the anisotropic quantum mechanical ferromagnetic Heisenberg model. By anisotropic we mean that the x and y exchange constants are equal but smaller than the z 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.

Original languageEnglish (US)
Pages (from-to)447-462
Number of pages16
JournalCommunications in Mathematical Physics
Volume100
Issue number3
DOIs
StatePublished - Sep 1 1985
Externally publishedYes

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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