Long range order in the anisotropic quantum ferromagnetic Heisenberg model

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Long range order in the anisotropic quantum ferromagnetic Heisenberg model'. Together they form a unique fingerprint.

Cite this