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

Per-Anker Lindgård

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    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

    Bibliographical note

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


    • Risø-M-1701

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