Abstract

A quantum statistical theory of the influence of grain size on the residual extraordinary Hall effect (EHE) in magnetic metal–insulator granular alloys is presented. It is shown that under certain conditions the quasi-classical size-effect (QSE) can lead to similar behaviors of EHE in metal–metal and metal–insulator alloys. The possible dependences of EHE coefficient on the grain size and the role of the QSE in the giant EHE in nanocomposites are discussed.

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