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)) approximately T(K) (-a) that holds in the ins...

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Bibliographic Details
Published in:Physical review letters 2006-03, Vol.96 (11), p.117209-117209, Article 117209
Main Authors: Cornaglia, P S, Grempel, D R, Balseiro, C A
Format: Article
Language:English
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Summary: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)) approximately T(K) (-a) that holds in the insulating phase and persists in the metallic phase close to the metal-insulator transition. Moreover, the exponent 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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.96.117209