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At the Anderson metal-insulator transition (AMIT), power-law correlations of critical wave functions with power γ open local pseudogaps at the Fermi energy at some random positions in space, as shown analytically. When a magnetic impurity happens to be at such a position, Kondo screening is found to be suppressed. These results are confirmed by numerical diagonalizations of critical random banded matrices. In three dimensions, we find that for exchange couplings J smaller than J* (γ), the AMIT extends into a critical region in the disorder strength parameter W and to a band of critical states. As a consequence, the average conductance has a plateau at the AMIT whose width increases with a power of the concentration of Kondo impurities. |
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