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A multifractal analysis of optical phonon excitations in quasicrystals

Author

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  • Anselmo, D.H.A.L.
  • Dantas, A.L.
  • Albuquerque, E.L.

Abstract

It is shown that the allowed frequencies of optical phonon modes propagating in quasiperiodic AlN–GaN structures display a multifractal behavior. This feature is confirmed through a scaling-exponent analysis of a parametric spectrum of singularities f(α). This is done by using an alternative counting method, avoiding the use of a Legendre transform, which could lead to distortions. The Cantor-like spectrum is also investigated, and scaling properties are shown for Fibonacci, Thue–Morse and double-period quasiperiodic superlattices.

Suggested Citation

  • Anselmo, D.H.A.L. & Dantas, A.L. & Albuquerque, E.L., 2006. "A multifractal analysis of optical phonon excitations in quasicrystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 289-294.
    • Handle: RePEc:eee:phsmap:v:362:y:2006:i:2:p:289-294
    DOI: 10.1016/j.physa.2005.08.031
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