Nonperturbative Scaling Theory of Free Magnetic Moment Phases in Disordered Metals

Abstract

The crossover between a free magnetic moment phase and a Kondo phase in low dimensional disordered metals with dilute magnetic impurities is studied. We perform a finite size scaling analysis of the distribution of the Kondo temperature as obtained from a numerical renormalization group calculation of the local magnetic susceptibility and from the solution of the self-consistent Nagaoka-Suhl equation. We find a sizable fraction of free (unscreened) magnetic moments when the exchange coupling falls below a disorder-dependent critical value $J_{\mathrm{c}}$. Our numerical results show that between the free moment phase due to Anderson localization and the Kondo screened phase there is a phase where free moments occur due to the appearance of random local pseudogaps at the Fermi energy whose width and power scale with the elastic scattering rate $1/\tau$.

4 pages, 6 figures

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• Low temperature dephasing in irradiated metallic wires
• The Aubry-Andre Anderson model: Magnetic impurities coupled to a fractal spectrum
• Conductance of a quantum dot in the Kondo regime connected to dirty wires
• One- and two-channel Kondo model with logarithmic Van Hove singularity: a numerical renormalization group solution
• Inhomogeneous Kondo destruction by RKKY correlations
• Quantum criticality in the spin-isotropic pseudogap Bose-Fermi Kondo model: entropy, scaling, and the g-theorem