A theoretical model of Raman scattering lineshap is formulated in low-dimensional semiconductor structures, in which defects and impuries inevitably exist. In this model, because of the relaxation of the momentum conservation law, the Raman lineshape is determined by two factors, i.e. the density states of phonon modes and the interaction matrix elements. Thus a model of phonon density of states enhanced by Fr?hlich-interaction is used to clarify the origin of the Raman lineshape in GaAs/AlAs superlattices, which has recently been assigned to dips due to anticrossing of interface modes with the odd-order confined modes, rather than the peaks with the even-order modes. The numerical results based on this model have well reproduced main features in the resonant Raman spectra of superlattices with identical well-width but different barrier-widths, and unambiguoursly show that, instead of the dips, the even-order confined GaAs modes and interface modes are responsible for the Raman spectra in superlattices in the presence of imperfections. The model is also adopted to the Raman spectra in one-dimensional SiC nanorods. It has succeeded in explaining a 40 cm-1 Raman shift for LO modes in SiC-nanorod and predicting an unexpected 864 cm-1 peak which was later resolved in experiments. Besides, phonon modes in several novel quantum structures are calculated, such as quantum dots, the finite superlattice embedded in a microcavity, and the isotope rbonnanotube.
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数据更新时间:2023-05-31
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