Magnetic Properties of Some Itinerant-Electron Systems at T > 0

Elliott H. Lieb and Michael Aizenman
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Elliott H. Lieb: Princeton University, Department of Physics and Mathematics
Michael Aizenman: New York University, Courant Institute of Mathematical Sciences

A chapter in Inequalities, 2002, pp 95-98 from Springer

Abstract: Abstract 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(ß,h), the magnetization of a quantum system in a field h> 0, is always less than the pure paramagnetic value M o(ß,h)=lanh(ßh), with ß=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 M(ß,h ) exceeds M 0(ß,h ).

Keywords: Hubbard Model; World Line; Physical Review Letter; Wiener Measure; Spin Assignment (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_10

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DOI: 10.1007/978-3-642-55925-9_10

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