Abstract

We have developed a theory of one phonon resonant Raman scattering in a semiconductor quantum-well wire (QWW) and free standing wire (FSW) of cylindrical geometry. We present a complete description of the phonon modes of cylindrical structures embedded in another material, including a correct treatment of the mechanical and electrostatic matching conditions at the surface. We consider the Fröhlich interaction for resonance Raman scattering. Electron states are considered confined within the QWW and the FSW. We also assume T=0K and single parabolic conduction and valence bands. The spectra are discussed for different laser energies and the selection rules for the processes are also studied. Singularities in the spectra are found and interpreted.

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