Abstract
The vibrational and electronic spectra of a semi-infinite crystal with a planar surface are modified by the presence of surface inhomogeneities or roughness such as ridges or grooves, quantum wires or tips. We develop a Green's function formalism to investigate the localized and resonant acoustic modes of shear horizontal polarization associated with the surface of a substrate supporting a single and a periodic array of wires. Each material is assumed to be an isotropic elastic medium. The calculation can be applied to an arbitrary choice of the shape and elastic parameters of the wires. The surface modes are obtained as well-defined peaks of the densities of states (DOS). In this paper, we calculate the variation of the density of states associated with the adsorption of a single wire, and the dispersion curves of the surface modes for a periodic array of wires on the flat surface of a substrate. We discuss their behaviors as a function of the elastic parameters and the relationship between resonant modes of the single wire and dispersion curves of the surface modes for a periodic structure.
Original language | English |
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Pages (from-to) | 437-445 |
Number of pages | 9 |
Journal | European Physical Journal B |
Volume | 21 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jun 2001 |
Externally published | Yes |
Keywords
- 43.20.+g general linear acoustics
- 43.40.+s structural acoustics and vibration
- 62.30.+d mechanical and elastic waves; vibrations