Localization and fractal spectra of optical phonon modes in quasiperiodic structures

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

Physica A: Statistical Mechanics and its Applications, 2005, vol. 349, issue 1, 259-270

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.

Keywords: Fractal spectra; Localization; Quasiperiodic structures; Optical phonons (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:349:y:2005:i:1:p:259-270

DOI: 10.1016/j.physa.2004.10.008

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