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Electron Correlations and Materials Properties 2 pp 159–179Cite as

The Kondo-Lattice Model for Cerium Compounds

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Abstract

Many cerium alloys and compounds are characterized by heavy-fermion behaviour due to the Kondo effect. In the case of a lattice, there is a strong competition between the Kondo effect and magnetic ordering, which has been described by the Doniach diagram. We describe here the Kondo-lattice model within a mean-field treatment of the Hamiltonian, including both the s-f exchange intra-site interaction and the nearest neighbour inter-site f-f interaction in the three following cases: first, we treat the non-magnetic case and discuss the effects of conduction band filling on the occurrence of the Kondo effect; second, we describe the antiferromagnetic to Kondo transition; and third, the spin-glass to Kondo transition, both as a function of the intra-site interaction for a finite inter-site interaction. Comparison with experimental data in cerium systems is presented.

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Author information

Authors and Affiliations

  1. Laboratoire de Physique des Solides, Université Paris-Sud, 91405, Orsay, France

    B. Coqblin

  2. Instituto de Fisica, U.F.R.G.S., 91501-970, Porto Alegre, RS, Brazil

    M. A. Gusmão, J. R. Iglesias, A. Ruppenthal & Alba Theumann

  3. Laboratoire L. Néel, CNRS, BP 166, 38042, Grenoble Cedex 09, France

    C. Lacroix

  4. Departamento de Fisica, U.F.S.M., 97119-900, Santa Maria, Brazil

    S. G. Magalhães

  5. Departamento de Matematica, U.F.S.M., 97119-900, Santa Maria, Brazil

    A. A. Schmidt

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  1. B. Coqblin
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  3. J. R. Iglesias
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  4. C. Lacroix
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  5. S. G. Magalhães
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  6. A. Ruppenthal
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  7. A. A. Schmidt
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  8. Alba Theumann
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Editor information

Editors and Affiliations

  1. Lawrence Livermore National Laboratory, Livermore, California, USA

    A. Gonis

  2. California State University—Northridge, Northridge, California, USA

    N. Kioussis

  3. U.S. Army Research Office, Research Triangle Park, North Carolina, USA

    M. Ciftan

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Coqblin, B. et al. (2002). The Kondo-Lattice Model for Cerium Compounds. In: Gonis, A., Kioussis, N., Ciftan, M. (eds) Electron Correlations and Materials Properties 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3760-8_8

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  • DOI: https://doi.org/10.1007/978-1-4757-3760-8_8

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