Vibrational Properties at the Intersection of Embedded Nanostructure and Surface Boundary
DOI:
https://doi.org/10.22399/ijcesen.5136Keywords:
surface and interface, nanostructures, defects, electronic scattering, localized phonons, matching methodAbstract
We propose an analytical approach to investigate the vibrational scattering and localization at the intersection of an embedded nanostructure and boundaries of crystalline surfaces . The propagating and the evanescent modes are calculated in the bulk material and the energies of localized modes in the neighbourhood of the defect are determined. We show respectively the existence of optical localized modes and acoustical modes induced by the inhomogeneity. Also the number and features of these curves depend strongly of the parameters of a system model. The state densities are calculated by the mean of the Green functions associated to the matching method, for atomic sites that constitute a minimum representation set in the neighbourhood of the defect. The interaction between the propagating bulk modes and the localized phonons induced by the integrated nanostructure give rise to resonances in the subband of the bulk material
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