Correlation effects on Raman scattering from low-energy vibrational modes in fractal and disordered systems. I. Theory

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  • E. Duval
    Laboratoire de Physicochimie des Matériaux Luminescents, Université Lyon I 69622 Villeurbanne, France
  • N. Garcia
    Département de Physique des Matériaux, Université Lyon I, 69622 Villeurbanne, France
  • A. Boukenter
    Laboratoire de Physicochimie des Matériaux Luminescents, Université Lyon I 69622 Villeurbanne, France
  • J. Serughetti
    Départment de Physique des Matériaux, Université Lyon I, 69622 Villeurbanne, France

Abstract

<jats:p>In disordered fractal or nonfractal systems, the disorder induces rapid fluctuations of the acoustical vibrational wave functions, so that statistics can be used to resolve the problem of Raman scattering from localized low-energy vibrations. We derive the expressions of light-vibration coupling coefficient, C(ω), as a function of the frequency ω, in the case of the dipole-induced dipole mechanism of susceptibility fluctuation and for different types of correlation, from full correlation to no-correlation. The results are compared to the existing numerical calculations. The expressions of C(ω) are determined for other mechanisms of susceptibility fluctuations, depending on an interaction propagating in the fractal.</jats:p>

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