Size Dependence In The Disordered Kondo Problem

Abstract

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 ${\tau }_s^o/(k_{F}L{\ell }^2)\ln T$ that explains both the disorder and sample-size depression of the Kondo effect observed by Blachly and Giordano (PRB {\bf 51}, 12537 (1995)).

11 pages, LaTeX, 2 Postscript figures

Cited by in corpus (12)

• MATBG as Topological Heavy Fermion: I. Exact Mapping and Correlated Insulators
• The Kondo Box: A Magnetic Impurity in an Ultrasmall Metallic Grain
• Overscreening of magnetic impurities in $d_{x^2-y^2}$ wave superconductors
• TBG as Topological Heavy Fermion: II. Analytical approximations of the model parameters
• Spin-Orbit-Induced Magnetic Anisotropy for Impurities in Metallic Samples I. Surface Anisotropy
• Mesoscopic Kondo Problem
• Spin-Orbit-Induced Magnetic Anisotropy for Impurities in Metallic Samples II. Finite Size Dependence in the Kondo Resistivity
• Spin-Orbit-Induced Kondo Size Effect in Thin Films with 5/2-spin Impurities
• Kondo Effect in Systems with Spin Disorder
• Kondo effect in mesoscopic systems
• Theory of magnetoresistance in films of dilute magnetic alloys
• A Kondo impurity in a disordered metal: Anderson's theorem revisited