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Acoustic phonon transmission spectra in piezoelectric AlN/GaN Fibonacci phononic crystals

Author

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  • P. D. Sesion
  • E. L. Albuquerque
  • C. Chesman
  • V. N. Freire

Abstract

We study the acoustic-phonon transmission spectra in periodic and quasiperiodic (Fibonacci type) superlattices made up from the III-V nitride materials AlN and GaN. The phonon dynamics is described by a coupled elastic and electromagnetic equations within the static field approximation model, stressing the importance of the piezoelectric polarization field in a strained condition. We use a transfer-matrix treatment to simplify the algebra, which would be otherwise quite complicated, allowing a neat analytical expressions for the phonon transmission coefficients. Numerical results, for the normal incidence case, show a strike self-similar pattern for both hexagonal (class 6 mm) and cubic symmetries crystalizations of the nitrides. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • P. D. Sesion & E. L. Albuquerque & C. Chesman & V. N. Freire, 2007. "Acoustic phonon transmission spectra in piezoelectric AlN/GaN Fibonacci phononic crystals," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 58(4), pages 379-387, August.
    • Handle: RePEc:spr:eurphb:v:58:y:2007:i:4:p:379-387
    DOI: 10.1140/epjb/e2007-00249-5
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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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