(Elsevier, 2010-09-01) Sesion Junior, Paulo Dantas; Albuquerque, E. L.
We study the acoustic–phonon transmission spectra in quasiperiodic (Fibonacci type) superlattices
made up from the solid crystal quartz and the liquid mercury (Hg). The phonon dynamics is described
by a coupled elastic equations within the static field approximation model. We use a transfer-matrix
treatment to simplify the algebra, which would be otherwise quite complicated, allowing a neat
analytical expression for the phonon transmission coefficients. Numerical results is presented and
discussed for both the transmittance spectra as well as the localization factor derived from the
Lyapunov exponent, showing that the Fibonacci quasiperiodic structure acts as a filter for the phonon’s
transmission spectra
