Acoustic phonon transmission spectra in piezoelectric AlN/GaN Fibonacci phononic crystals

P. D. Sesion, E. L. Albuquerque (), C. Chesman and V. N. Freire

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 58, issue 4, 379-387

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Keywords: 63.20.Dj Phonon states and bands; normal modes; and phonon dispersion; 63.22.+m Phonons or vibrational states in low-dimensional structures and nanoscale materials; 77.65.-j Piezoelectricity and electromechanical effects (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2007-00249-5

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