Abstract

Many Cerium, Ytterbium and Uranium systems exhibit a heavy fermion behaviour due to the Kondo effect and, in the case of a lattice, there is a strong interaction between the Kondo effect and the Ruderman-Kittel-Kasuya-Yosida (RKKY) indirect interaction. In this paper, we discuss the competition between the Kondo effect and magnetism in both the Kondo-lattice and Anderson-lattice models and we present a “revisited” version of the Doniach diagram with a drastically reduced Kondo temperature for the lattice. Then, we discuss very briefly the multichannel Kondo effect and the case of Uranium compounds where a coexistence between the Kondo effect and magnetism seems to occur.

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