Exchange interaction in the heavy rare earth metals calculated from energy bands

Per-Anker Lindgård

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    Abstract

    The indirect exchange interaction (RKKY) is calculated for the heavy rare earth metals. The conduction electrons are treated by the argumented-plane-wave (APW) method. Numerical results for the susceptibility xq for APW- and free electrons are given. The numerical accuracy is tested for the free electron
    model using both a root-sampling method and a linearized integral method. The first method requires 450,000 and the latter 9,000 points in the entire Brillouin zone for a good agreement with the Lindhard function. Xq and the wave vector dependent exchange integral J is calculated for Gd, Tb, Dy, and Er in the ordered phase. Jq is calculated for Gd with the inclusion of the matrix element, calculated on the basis of APW functions
    .
    Original languageEnglish
    Place of PublicationRoskilde, Denmark
    PublisherRisø National Laboratory
    Number of pages24
    ISBN (Print)87-550-0254-4
    Publication statusPublished - 1974
    SeriesRisø-M
    Number1701
    ISSN0418-6435

    Bibliographical note

    Lecture given at XI Annual Winter School for Theoretical Physics Karpacz, Poland 18-2 to 3-3 1974.

    Keywords

    • Risø-M-1701

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