Phase transitions in the quantum Heisenberg model

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

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


We rigorously prove that in three or more dimensions, the nearest-neighbor, simple-cubic, ferromagnetic, quantum Heisenberg model of spin S (=12, 1, ...) has a phase transition at nonzero temperature.

Original languageEnglish (US)
Pages (from-to)120-123
Number of pages4
JournalPhysical review letters
Issue number3
StatePublished - 1976

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


Dive into the research topics of 'Phase transitions in the quantum Heisenberg model'. Together they form a unique fingerprint.

Cite this