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Raman Scattering from Phonons in Quasiperiodic Superlattices Based on Generalizations of the Fibonacci Sequence

  • T. A. Gant
  • D. J. Lockwood
  • J.-M. Baribeau
  • A. H. MacDonald
Part of the NATO ASI Series book series (NSSB, volume 206)

Abstract

Recently there has been a great deal of interest in the structural, vibrational, and electronic properties of nonperiodic superlattices.1 This work has been stimulated by the discovery of quasicrystals2 and the realization that 1-D analogs of quasicrystals could be created artificially in multilayer systems.3 By far the majority of the work in these systems has concentrated on quasiperiodic Fibonacci superlattices.4 The Fibonacci structure is a particular case of a class of quasiperiodic structures defined by the recursion relation5
$$ {{S}_{j}} = {{({{S}_{{j - 1}}})}^{n}}{{S}_{{j - 2}}} $$
(1)
By defining the basic building blocks S1 and S2 in terms of layers of different materials and thicknesses we have attached a basis to the quasiperiodic lattice. Table 1 illustrates how the recursion relation (1) is used to build up the first 5 generations in terms of S1 and S2.

Keywords

Raman Spectrum Wavelength Dependence Fibonacci Sequence Plane Wave Approximation Quasiperiodic Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • T. A. Gant
    • 1
  • D. J. Lockwood
    • 1
  • J.-M. Baribeau
    • 1
  • A. H. MacDonald
    • 2
  1. 1.National Research CouncilOttawaCanada
  2. 2.Physics DepartmentIndiana UniversityBloomingtonUSA

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