Abstract
A quantum explanation based on the previous semi-classical theory has been presented for the giant magnetoresistance (GMR) effect in this letter. A simple model Hamiltonian has been proposed for the conduction electrons in the magnetic layered structures in which the interaction of the conduction electrons with the local spins and the spin-dependent scattering potential have been considered, then an analytical expression of the effective electric conductivity is derived after some simplifying procedures. The main feature of the GMR effect may be explained by this simple model qualitatively.
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