Electron Distribution around a Magnetic Impurity in a Nonmagnetic Host

Abstract

The spatial dependence of the electron density polarization per spin $\delta n^{\sigma }\left(\mathcal{r}\right)$, produced by a magnetic ion in a nonmagnetic host, has been calculated in terms of the Friedel-Anderson model. The numerical results are found to be rather insensitive to variations of the model parameters describing the virtual bound state provided self-consistency is maintained. Our numerical results differ considerably, even in sign, from the well-known asymptotic form at first-nearest-neighbor distances and the asymptotic form is not adequate until $\mathcal{r}\gtrsim 10k_F^{-1\mathrm{}}$. An interpolation formula, incorporating lowest-order preasymptotic corrections, has also been given.