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Magnons in the Heisenberg model with a dynamical scaling symmetry

Author

Listed:
  • Caspers, W.J.
  • Kuźma, M.
  • Lulek, B.
  • Lulek, T.

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.

Suggested Citation

  • Caspers, W.J. & Kuźma, M. & Lulek, B. & Lulek, T., 1998. "Magnons in the Heisenberg model with a dynamical scaling symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 252(3), pages 477-487.
    • Handle: RePEc:eee:phsmap:v:252:y:1998:i:3:p:477-487
    DOI: 10.1016/S0378-4371(97)00627-4
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