A multifractal analysis of optical phonon excitations in quasicrystals

✍ Scribed by D.H.A.L. Anselmo; A.L. Dantas; E.L. Albuquerque

• Book ID: 103880273
• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 217 KB
• Volume: 362
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2005.08.031

✦ Synopsis

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 ðaÞ. 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.