Theory of inelastic scattering from magnetic impurities

Details Theory of inelastic scattering from magnetic impurities Theory of inelastic scattering from magnetic impurities

2004-03-29

arxiv.org/abs/cond-mat/0403696v2

Phys. Rev. Lett. 93, 107204 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.93.107204

We use the numerical renormalization group method tocalculate the single particle matrix elements $\cal T$ of the many body $T$-matrix of the conduction electrons scattered by a magnetic impurity at T=0 temperature. Since $\cal T$ determines both the total and the elastic, spin-diagonal scattering cross sections, we are able to compute the full energy-, spin- and magnetic field dependence of the inelastic scattering cross section, $\sigma_{\rm inel}(\omega)$. We find an almost linear frequency dependence of $\sigma_{\rm inel}(\omega)$ below the Kondo temperature, $T_K$, which crosses over to a $\sim \omega^2$ behavior only at extremely low energies. Our method can be generalized to other quantum impurity models.

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