The conduction-electron spin polarization, induced by a magnetic rare-earth impurity embedded in a transition-metal-like host, is calculated, using the Green's-function formalism. The $s$ and $d$ magnetizations are calculated to first order in the exchange parameters, in terms of partial static susceptibilities ${\overline{\chi }}^{\mathrm{dd}}\left(\overrightarrow{\mathrm{q}}\right)$, ${\overline{\chi }}^{\mathrm{ds}}\left(\overrightarrow{\mathrm{q}}\right)$, ${\overline{\chi }}^{\mathrm{ss}}\left(\overrightarrow{\mathrm{q}}\right)$, and ${\overline{\chi }}^{\mathrm{sd}}\left(\overrightarrow{\mathrm{q}}\right)$. These susceptibilities are expressed in terms of the host band structure, phase-shifts, and strength of matrix elements associated to the charge impurity potential and local Coulomb correlation parameter at the impurity site. These results are compared to previous ones and possible applications are discussed.

• Received 27 May 1975

DOI:https://doi.org/10.1103/PhysRevB.13.3902