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Large-N-limit of mixed valence: Diagrammatic expansion and rigorous results

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Zeitschrift für Physik B Condensed Matter

Abstract

For an intermediate valence model, containing one simply and oneN-fold degeneratef-configuration at a specific lattice site, the large-N-limit is studied within a concise diagrammatic expansion and also rigorously. At zero temperatureT rigorous upper and lower bounds for the ground state energy are found, while at finiteT the large-N-expansion is shown to be equivalent to the principle of classifying the diagrams according the maximum number of spin flips, whereupon various physical quantities can be calculated.

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Authors and Affiliations

  1. Institut für Physik der Universität Dortmund, Postfach 500500, D-4600, Dortmund 50, Germany

    U. Brandt, H. Keiter & Fu-Sui Liu

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  1. U. Brandt
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  2. H. Keiter
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  3. Fu-Sui Liu
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On leave of absence from Department of Physics, Beijing University, Beijing, People's Republic of China with support from DAAD

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Brandt, U., Keiter, H. & Liu, FS. Large-N-limit of mixed valence: Diagrammatic expansion and rigorous results. Z. Physik B - Condensed Matter 58, 267–281 (1985). https://doi.org/10.1007/BF01303668

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  • DOI: https://doi.org/10.1007/BF01303668

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