RT Journal Article
T1 Hierarchical description of phonon dynamics on finite Fibonacci superlattices
A1 Maciá Barber, Enrique Alfonso
AB 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.
PB American Physical Society
SN 1098-0121
YR 2006
FD 2006-05
LK https://hdl.handle.net/20.500.14352/52107
UL https://hdl.handle.net/20.500.14352/52107
LA eng
NO ©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.
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 30 jun 2025