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Bethe-Ansatz Solution of the Degenerate Anderson Model: Applications to Ce and Yb Impurity Systems

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Theory of Heavy Fermions and Valence Fluctuations

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 62))

Abstract

We review the Bethe-ansatz solution of the orbitally degenerate Anderson model for a magnetic impurity in a metal. The groundstate properties of the integer and mixed-valent impurity are discussed in the presence of external potentials, e.g. magnetic and crystalline fields, and with spin-orbit coupling. The thermodynamic Bethe-ansatz equations are reviewed and their solution for Ce and Yb impurities are compared with experimental data. The Bethe ansatz solution, the groundstate properties and the thermodynamics of a model for a mixed-valent impurity with two magnetic configurations are presented. This model is supposed to resemble some of the properties of Tm-ions.

Heisenberg-fellow of the Deutsche Forschungsgemeinschaft

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Author information

Author notes

  1. P. Schlottmann

    Present address: Institut für Theoretische Physik, Universität Göttingen, W. -Germany

Authors and Affiliations

  1. Institut für Festkörperforschung, Kernforschungsanlage Jülich, Postfach 1913, D-5170, Jülich, Fed. Rep. of Germany

    P. Schlottmann

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  1. P. Schlottmann
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Editor information

Editors and Affiliations

  1. Department of Physics, Tohoku University, Aramaki Aoba, Sendai, 980, Japan

    Tadao Kasuya  & Tetsuro Saso  & 

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Schlottmann, P. (1985). Bethe-Ansatz Solution of the Degenerate Anderson Model: Applications to Ce and Yb Impurity Systems. In: Kasuya, T., Saso, T. (eds) Theory of Heavy Fermions and Valence Fluctuations. Springer Series in Solid-State Sciences, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82618-4_5

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  • DOI: https://doi.org/10.1007/978-3-642-82618-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82620-7

  • Online ISBN: 978-3-642-82618-4

  • eBook Packages: Springer Book Archive

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