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Acoustic phonon modes of rectangular quantum wires
| Title: | Acoustic phonon modes of rectangular quantum wires |
| Authors: | Nishiguchi, N. Browse this author →KAKEN DB | | Ando, Y. Browse this author | | Wybourne, M. N. Browse this author |
| Keywords: | Quantum wires | | honon states and bands, normal modes, and phonon dispersion | | Elasticity | | Acoustical properties of solids | | Elasticity and anelasticity, stress-strain relations |
| Issue Date: | 1997 |
| Publisher: | IOP |
| Journal Title: | Journal of Physics: Condensed Matter |
| Volume: | 9 |
| Issue: | 27 |
| Start Page: | 5751 |
| End Page: | 5764 |
| Publisher DOI: | 10.1088/0953-8984/9/27/007 |
| Abstract: | Acoustic phonon modes of a free-standing rectangular quantum wire of cubic crystals are theoretically investigated using an algorithm developed to analyze data from resonant ultrasound spectroscopy. The normal phonon modes are classi ed by their spatial symmetries into a compressional mode termed the dilatational mode and non-compressional modes referred to as the exural, torsional and shear modes. The formalism we present is quite general and can be applied to wires of any cubic material. As an example, the dispersion relations are obtained for square and rectangular wires of GaAs, taking into account anisotropic elasticity of the material. The dispersion curves for a rectangular wire are compared with those of the approximate hybrid modes referred to as the thickness and width modes, and the validity of the modes is discussed. The existence of edge modes is con rmed by examining the spatial distribution of displacement vectors. |
| Rights: | Copyright © 1997 IOP Publishing Ltd. |
| Relation: | http://iopscience.iop.org/0953-8984 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/49626 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 西口 規彦
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