Phase transitions in quantum spin systems with isotropic and nonisotropic interactions

Freeman J. Dyson, Elliott H. Lieb, Barry Simon

Research output: Contribution to journalArticlepeer-review

334 Scopus citations

Abstract

We prove the existence of spontaneous magnetization at sufficiently low temperature, and hence of a phase transition, in a variety of quantum spin systems in three or more dimensions. The isotropic spin 1/2 x-y model and the Heisenberg antiferromagnet with spin 1, 3/2,...and with nearest neighbor interactions on a simple cubic lattice are included.

Original languageEnglish (US)
Pages (from-to)335-383
Number of pages49
JournalJournal of Statistical Physics
Volume18
Issue number4
DOIs
StatePublished - Apr 1978

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Heisenberg ferromagnet
  • Phase transitions

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