%0 Journal Article
%T Absence of a Magnetic Phase Transition in Heisenberg, Hubbard, and Kondo-lattice (s-f) Films
%A Axel Gelfert
%A Wolfgang Nolting
%J Physics
%D 1999
%I arXiv
%R 10.1002/(SICI)1521-3951(200002)217:2<805::AID-PSSB805>3.0.CO;2-P
%X 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 and any finite number of layers, 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 of an infinite number of layers.
%U http://arxiv.org/abs/cond-mat/9910492v1