Article,
Localization and fractal spectra of optical phonon modes in quasiperiodic structures
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 349 (1-2): 259-270 (2005)
DOI: 10.1016/j.physa.2004.10.008
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. (C) 2004
Elsevier B.V. All rights reserved.
