Long range order in the anisotropic quantum ferromagnetic Heisenberg model

Research output: Contribution to journalArticle

23 Citations (Scopus)

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 1985
Externally publishedYes

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Long-range Order
Heisenberg Model
Exponential Decay
Correlation Function
Anisotropy
anisotropy
expansion
decay

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Long range order in the anisotropic quantum ferromagnetic Heisenberg model. / Kennedy, Thomas G.

In: Communications in Mathematical Physics, Vol. 100, No. 3, 09.1985, p. 447-462.

Research output: Contribution to journalArticle

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