Abstract
We consider inelastic scattering of localized magnetic moments coupled with the electrons on the surface. We argue that spin-inelastic transitions of the magnetic impurities generate oscillations at a momentum $k$, corresponding to the inelastic mode, in the second derivative of the current with respect to voltage ${d}^{2}I/d{V}^{2}$. These oscillations are similar in nature to Friedel oscillations. Inelastic Friedel oscillations, which were previously proposed for a spin-unpolarized setup, are here extended for spin-polarized systems. We propose to use scanning tunneling microscopy to measure spin-inelastic scattering generated at the impurity spin by imaging the ${d}^{2}I/d{V}^{2}$ oscillations on the metal surface.
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