Existence of phase transitions for anisotropic heisenberg models

Jürg Fröhlich, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


The two-dimensional anisotropic, nearest-neighbor Heisenberg model on a square lattice, both quantum and classical, has been shown regorously to have a phase transition in the sense that the spontaneous magnetization is positive at low temperatures. This is so for all anisotropies. An analogous result (staggered polarization) holds for the antiferromagnet in the classical case; in the quantum case it holds if the anisotropy is large enough (depending on the single-site spin).

Original languageEnglish (US)
Pages (from-to)440-442
Number of pages3
JournalPhysical review letters
Issue number8
StatePublished - 1977

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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