Magnetic properties of some itinerant-electron systems at T>0

Michael Aizenman, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


The Lieb-Mattis theorem on the absence of one-dimensional ferromagnetism is extended here from ground states to T>0 by proving, inter alia, that M the magnetization of a quantum system in a field h>0, is always less than the pure paramagnetic value M0=tanh with =1/kT. Our proof rests on a new formulation in terms of path integrals that holds in any dimension; another of its applications is that the Nagaoka-Thouless theorem on the Hubbard model also extends to T>0 in the sense that Mexceeds M0.

Original languageEnglish (US)
Pages (from-to)1470-1473
Number of pages4
JournalPhysical review letters
Issue number12
StatePublished - 1990

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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