Magnons in the Heisenberg model with a dynamical scaling symmetry

W.J. Caspers, M. Kuzma, B. Lulek, T. Lulek

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    Abstract

    A special Heisenberg model is considered for which the exchange integral takes on the same value J not only for geometrically equivalent neighbours, but also for such j-neighbours which constitute an orbit of a "hidden" symmetry group of scaling transformations. The dispersion law for magnons for this model constitutes a reproduction of some rules of arithmetic number theory. The extra symmetry is illustrated by a chain of 12 spins, which may be shown to be equivalent to a toroidal 4 3-periodic crystal.
    Original languageEnglish
    Pages (from-to)477-487
    JournalPhysica A
    Volume252
    Issue number3-4
    DOIs
    Publication statusPublished - 1998

    Keywords

    • IR-55462

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