Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/5399
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Title: Effects of the parabolic potential and confined phonons on the polaron in a quantum wire
Authors: Li, WS
Gu, SW
Au Yeung, TC
Yeung, YY
Issue Date: 15-Aug-1992
Source: Physical review. B, Condensed matter and materials physics, 15 Aug. 1992, v. 46, no. 8, p. 4630–4637
Abstract: By using the Lee, Low, and Pines variational method, we have studied the electron-confined phonon interaction within a rectangular quantum wire under an additional parabolic potential. Formulas for the polaron self-energy, the electron effective mass along the wire, and the ground-state energy are derived. Numerical calculations are performed for a typical GaAs quantum wire within the mesoscopic size using the idea of Fourier decomposition of the wave function. In comparison with previous calculations, our results show that the effect of phonon confinement always reduces the magnitude of the electron-phonon interaction and the associated physical quantities, whereas the additional parabolic potential tends to enhance not only this interaction but also the ground-state energy.
Keywords: Effective mass (band structure)
Electron-phonon interactions
Gallium arsenide
III-V semiconductor
Mesoscopic systems
Polarons
Semiconductor quantum wires
Variational techniques
Wave functions
Publisher: American Physical Society
Journal: Physical review. B, Condensed matter and materials physics 
ISSN: 1098-0121
EISSN: 1550-235X
DOI: 10.1103/PhysRevB.46.4630
Rights: Physical Review B © 1992 The American Physical Society. The Journal's web site is located at http://prb.aps.org/
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