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Fractal aspects of the spin wave spectra in pure and generalized Fibonacci anisotropic magnetic superlattices

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  • Filho, R.N.Costa
  • Albuquerque, E.L.

Abstract

A microscopic theory is employed to investigate the spin-wave spectra in pure and generalized Fibonacci anisotropic magnetic superlattices. We consider that the magnetic material has a ferromagnetic order. The calculations are carried out for the exchange regime within the framework of the Heisenberg model for low temperatures (T⪡TC) taking into account the Holstein–Primakoff transformations. Numerical results are presented to discuss the fractal aspect of the spin-wave spectra, including the localization of the modes as well as their scaling properties.

Suggested Citation

  • Filho, R.N.Costa & Albuquerque, E.L., 1999. "Fractal aspects of the spin wave spectra in pure and generalized Fibonacci anisotropic magnetic superlattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(3), pages 545-554.
    • Handle: RePEc:eee:phsmap:v:274:y:1999:i:3:p:545-554
    DOI: 10.1016/S0378-4371(99)00275-7
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    Cited by:

    1. Akbulak, Mehmet & Bozkurt, Durmuş, 2009. "On the order-m generalized Fibonacci k-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1347-1355.

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