One is thus lead to the question how in low-dimensional disordered metals with magnetic impurities both effects, the Kondo effect and Anderson localization, compete with each other. We present recent results, showing how the Kondo effect is quenched by Anderson localization, but Anderson localization is enhanced by the Kondo effect. The resulting quantum pase diagram of disordered, correlated low dimensional electron systems is discussed . Furthermore, the Kondo temperature itself is found to be distributed with a width that exceeds the expectations from the analogue of the Anderson Theorem [2,3]. Possible consequences at finite temperature, like non-Fermi liquid behavior and anomalous temperature dependence of the dephasing rate, are discussed and compared with experiments.
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 S. K. and M.E. Raikh, Phys. Rev. Lett. 90, 146601 (2003)
 S.K. And E. Mucciolo, arXiv:cond-mat/0509251, to appear in JETP Lett. ( March 2006)