Universal Distribution of Kondo Temperatures in Dirty Metals

Details Universal Distribution of Kondo Temperatures in Dirty Metals Universal Distribution of Kondo Temperatures in Dirty Metals

2006-01-24

arxiv.org/abs/cond-mat/0601537v3

Phys. Rev. Lett. 96, 117209 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures; added reference

Scientific paper

10.1103/PhysRevLett.96.117209

Kondo screening of diluted magnetic impurities in a disordered host is studied analytically and numerically in one, two and three dimensions. It is shown that in the T_K \to 0 limit the distribution of Kondo temperatures has a universal form, P(T_K) \sim T_K^{-\alpha} that holds in the insulating phase and persists in the metallic phase close to the metal insulator transition. Moreover, the exponent \alpha depends only on the dimensionality. The most important consequence of this result is that the T-dependence of thermodynamic properties is smooth across the metal-insulator transition in three dimensional systems.

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