Size Dependence In The Disordered Kondo Problem

Details Size Dependence In The Disordered Kondo Problem Size Dependence In The Disordered Kondo Problem

1996-07-10

arxiv.org/abs/cond-mat/9607074v1

Phys. Rev. Lett. 78 (1997) 114

Physics

Condensed Matter

11 pages, LaTeX, 2 Postscript figures

Scientific paper

10.1103/PhysRevLett.78.114

We study here the role randomly-placed non-magnetic scatterers play on the Kondo effect. We show that spin relaxation effects (with time $\tau_s^o$)in the vertex corrections to the Kondo self-energy lead to an exact cancellation of the singular temperature dependence arising from the diffusion poles. For a thin film of thickness $L$ and a mean-free path $\ell$, disorder provides a correction to the Kondo resistivity of the form $\tau_s^o/(k_FL\ell^2)\ln T$ that explains both the disorder and sample-size depression of the Kondo effect observed by Blachly and Giordano (PRB {\bf 51}, 12537 (1995)).

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