Hierarchical description of phonon dynamics on finite Fibonacci superlattices



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Maciá Barber, Enrique Alfonso (2006) Hierarchical description of phonon dynamics on finite Fibonacci superlattices. Physical review B, 73 (18). ISSN 1098-0121

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Official URL: http://dx.doi.org/10.1103/PhysRevB.73.184303


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.

Item Type:Article
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©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 Víctor R. Velasco, Gerardo G. Naumis, and Rogelio Rodríguez-Oliveros for very useful comments and Victoria Hernández for a critical reading of the manuscript.

Uncontrolled Keywords:Singular continuous-spectrum; Quasi-periodic structures; Critical wave-functions; Schrodinger-operators; Thermal-conductivity; Physical nature; Cantor-set; Model; Crystals; Systems
Subjects:Sciences > Physics > Materials
Sciences > Physics > Solid state physics
ID Code:44703
Deposited On:19 Sep 2017 18:27
Last Modified:19 Sep 2017 18:27

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