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Nonperturbative Scaling Theory of Free Magnetic Moment Phases in Disordered Metals

  • Zhuravlev, A.
  • Zharekeshev, I.
  • Gorelov, E.
  • Lichtenstein, A. I.
  • Mucciolo, E. R.
  • Kettemann, S.
Published Article
Publication Date
Jun 23, 2007
Submission Date
Jun 23, 2007
DOI: 10.1103/PhysRevLett.99.247202
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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 $J_{\rm c}$. 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 $1/\tau$.

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