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Absence of a Magnetic Phase Transition in Heisenberg, Hubbard, and Kondo‐Lattice (s–f) Films
Author(s) -
Gelfert A.,
Nolting W.
Publication year - 2000
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(200002)217:2<805::aid-pssb805>3.0.co;2-p
Subject(s) - condensed matter physics , physics , lattice (music) , hubbard model , superconductivity , acoustics
The possibility of a magnetic phase transition in Heisenberg, Hubbard, and s–f (Kondo‐lattice) films is investigated. It is shown that, for any finite temperature ( β > ∞) and any finite number of layers ( d > ∞), the magnetization within every layer must vanish. Thus, the Mermin‐Wagner theorem is extended to a variety of system geometries. We also comment on the microscopic interpretation of the transition from two to three dimensions in the limit d , β → ∞.