Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-06-23
Phys. Rev. Lett. 99, 247202 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 6 figures
Scientific paper
10.1103/PhysRevLett.99.247202
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 $1/\tau$.
Gorelov E.
Kettemann Stefan
Lichtenstein Alexander I.
Mucciolo Eduardo R.
Zharekeshev I.
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