Publication: Hierarchical description of phonon dynamics on finite Fibonacci superlattices
Loading...
Official URL
Full text at PDC
Publication Date
2006-05
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Exportar
Abstract
We study the phonon dynamics of Fibonacci heterostructures where two kinds of order (namely, periodic and quasiperiodic) coexist in the same sample at different length scales. We derive analytical expressions describing the dispersion relation of finite Fibonacci superlattices in terms of nested Chebyshev polynomials of the first and second kinds. In this way, we introduce a unified description of the phonon dynamics of Fibonacci heterostructures, able to exploit their characteristic hierarchical structure in a natural way.
Description
Ā©2006 The American Physical Society.
This work has been supported by the Universidad Complutense de Madrid through Project No. PR27/05-14014-BSCH. I warmly thank VĆctor R. Velasco, Gerardo G. Naumis, and Rogelio RodrĆguez-Oliveros for very useful comments and Victoria HernĆ”ndez for a critical reading of the manuscript.