Hierarchical description of phonon dynamics on finite Fibonacci superlattices
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 Che...
| Autor: | |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/52107 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/52107 |
| Access Level: | acceso abierto |
| Palavra-chave: | 538.9 Singular continuous-spectrum Quasi-periodic structures Critical wave-functions Schrodinger-operators Thermal-conductivity Physical nature Cantor-set Model Crystals Systems Física de materiales Física del estado sólido 2211 Física del Estado Sólido |
| Resumo: | 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. |
|---|