Optical phonon modes confinement in quasiperiodic semiconductor superlattice

The dispersion relation and localization profile of confined optical phonon modes propagating in quasiperiodic Fibonacci nitride semiconductor structures are analyzed through a transfer-matrix approach. This substitutional sequence is described in terms of a series of generations that obey peculiar recursion relations and/or inflation rules. We present a quantitative analysis of the localization and magnitude of the allowed band widths in the optical phonon spectra, as well as how they scale as a function of the number of generations of the Fibonacci sequence.