Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9727877 | Physica A: Statistical Mechanics and its Applications | 2005 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
D.H.A.L. Anselmo, A.L. Dantas, S.K. Medeiros, E.L. Albuquerque, V.N. Freire,