Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979780 | Physica A: Statistical Mechanics and its Applications | 2006 | 6 Pages |
Abstract
It is shown that the allowed frequencies of optical phonon modes propagating in quasiperiodic AlN-GaN structures display a multifractal behavior. This feature is confirmed through a scaling-exponent analysis of a parametric spectrum of singularities f(α). This is done by using an alternative counting method, avoiding the use of a Legendre transform, which could lead to distortions. The Cantor-like spectrum is also investigated, and scaling properties are shown for Fibonacci, Thue-Morse and double-period quasiperiodic superlattices.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
D.H.A.L. Anselmo, A.L. Dantas, E.L. Albuquerque,