Exact Results for Spin-Wave Renormalisation in Heisenberg and Planar Ferromagnets

E. Rastelli, Per-Anker Lindgård

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    Abstract

    An exact perturbation expansion, to the order 1/S2, is derived for the Heisenberg ferromagnet. The equivalence of the Dyson-Maleev (DM), Holstein-Primakoff (HP) and matching-of-matrix-element (MME) transformations is proven. They give identical T5/2 and T4 coefficients. For the planar ferromagnet, an exact expansion in anisotropy against exchange field proves the equivalence of the HP and MME transformations. Several explicit results and numerical estimates are given.
    Original languageEnglish
    JournalJOURNAL OF PHYSICS C-SOLID STATE PHYSICS
    Volume12
    Issue number10
    Pages (from-to)1899-1916
    ISSN0022-3719
    DOIs
    Publication statusPublished - 1979

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