Universal distribution of kondo temperatures in dirty metals

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 -> 0 limit the distribution of Kondo temperatures has a universal form P(T-K)similar to 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.