Article ID Journal Published Year Pages File Type
979780 Physica A: Statistical Mechanics and its Applications 2006 6 Pages PDF
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
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