The size effect in the anomalous Hall effect (AHE) has been investigated for metal films within the framework of the coherent potential approximation using the Kubo formalism. The classical size effect in the AHE has been calculated for thin ferromagnetic films at low temperatures. A method of calculating kinetic phenomena in films of arbitrary thickness is elaborated that does not impose constraints on the impurity scattering parameters in the bulk and on the surface of the film.
Department of Magnetism, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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