Abstract.
We study the acoustic-phonon transmission spectra in periodic and quasiperiodic (Fibonacci type) superlattices made up from the III-V nitride materials AlN and GaN. The phonon dynamics is described by a coupled elastic and electromagnetic equations within the static field approximation model, stressing the importance of the piezoelectric polarization field in a strained condition. We use a transfer-matrix treatment to simplify the algebra, which would be otherwise quite complicated, allowing a neat analytical expressions for the phonon transmission coefficients. Numerical results, for the normal incidence case, show a strike self-similar pattern for both hexagonal (class 6 mm) and cubic symmetries crystalizations of the nitrides.
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Sesion, P., Albuquerque, E., Chesman, C. et al. Acoustic phonon transmission spectra in piezoelectric AlN/GaN Fibonacci phononic crystals. Eur. Phys. J. B 58, 379–387 (2007). https://doi.org/10.1140/epjb/e2007-00249-5
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DOI: https://doi.org/10.1140/epjb/e2007-00249-5