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Localization and fractal spectra of optical phonon modes in quasiperiodic structures

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  • Anselmo, D.H.A.L.
  • Dantas, A.L.
  • Medeiros, S.K.
  • Albuquerque, E.L.
  • Freire, V.N.

Abstract

The dispersion relation and localization profile of confined optical phonon modes in quasiperiodic structures, made up of nitride semiconductor materials, are analyzed through a transfer-matrix approach. The quasiperiodic structures are characterized by the nature of their Fourier spectrum, which can be dense pure point (Fibonacci sequences) or singular continuous (Thue-Morse and Double-period sequences). These substitutional sequences are described in terms of a series of generations that obey peculiar recursion relations and/or inflation rules. We present a quantitative analysis of the localization and magnitude of the allowed band widths in the optical phonons spectra of these quasiperiodic structures, as well as how they scale as a function of the number of generations of the sequences.

Suggested Citation

  • Anselmo, D.H.A.L. & Dantas, A.L. & Medeiros, S.K. & Albuquerque, E.L. & Freire, V.N., 2005. "Localization and fractal spectra of optical phonon modes in quasiperiodic structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(1), pages 259-270.
    • Handle: RePEc:eee:phsmap:v:349:y:2005:i:1:p:259-270
    DOI: 10.1016/j.physa.2004.10.008
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    1. Cahn, Anne H., 1984. "Mimicking Sisyphys: America's Countervailing Nuclear Strategy. By Louis Rene Beres. (Lexington, Mass.: D.C. Heath, 1983. Pp. xiii + 142. $19.95, cloth; $7.95, paper.)," American Political Science Review, Cambridge University Press, vol. 78(1), pages 265-265, March.
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