TY - JOUR
T1 - Magnetic properties of some itinerant-electron systems at T>0
AU - Aizenman, Michael
AU - Lieb, Elliott
PY - 1990/1/1
Y1 - 1990/1/1
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.65.1470
DO - 10.1103/PhysRevLett.65.1470
M3 - Article
C2 - 10042274
AN - SCOPUS:0001239224
VL - 65
SP - 1470
EP - 1473
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 12
ER -