Electron Spin Polarization around a Magnetic Impurity Using the Takano and Ogawa Theory of Kondo's Effect

The conduction-electron spin polarization induced by a localized spin in a metal has been calculated using the Takano and Ogawa theory of the quasibound state. The theory predicts a positive contribution to the polarization at the impurity nucleus due to the $s\ensuremath{-}d$ interaction for temperatures lower than ${T}_{K}$, the transition temperature, and an oscillatory spin polarization of conduction electrons about the impurity at all temperatures. The oscillatory spin polarization is of the Ruderman-Kittel-Kasuya-Yosida form, but it is proportional to ${S}^{Z}$, the effective temperature-dependent spin which appears in the expression for the impurity contribution to the magnetic susceptibility. A comparison of theory with experiment is made for several "spin-compensated" systems with particular emphasis on Au-V and Cu-Fe alloys.