Spin Polarization of Dilute Magnetic Alloys

Abstract

The spin polarization of conduction electrons around a magnetic impurity is calculated for the exactly soluble model in which the z-component of the s-d exchange interaction is taken into account but the x- and y-components are ignored. The long-distance behavior is the same as the first order result obtained by Yosida, but with corrections in amplitude and phase. A fairly large discrepancy is noticed between the spin polarization and the function describing the asymptotic behavior. At the position of the impurity, the polarization is finite. It is noted that, when the exchange integral is large, a large charge fluctuation is induced and the amplitude of the spin polarization is reduced. It is shown that whether the bound state does appear or not for small values of the exchange integral, depends on the choice of the structure of the band or the cutoff of the interaction.