A multifractal analysis of optical phonon excitations in quasicrystals

D.H.A.L. Anselmo, A.L. Dantas and E.L. Albuquerque

Physica A: Statistical Mechanics and its Applications, 2006, vol. 362, issue 2, 289-294

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.

Keywords: Optical phonons; Multifractals; Superlattices (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:362:y:2006:i:2:p:289-294

DOI: 10.1016/j.physa.2005.08.031

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