Mathematica 9 is now available

Wolfram Library Archive

Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings

Long-Wavelength Polar Optical Modes in GaAs Semiconductor Layered Structures

R. Pérez-Alvarez
F. García-Moliner
V. R. Velasco
C. Trallero-Giner
Journal / Anthology

Journal of Physics: Condensed Matter
Year: 1993
Volume: 5
Page range: 5389-5400

A long-wavelength model of polar optical modes coupling the vibration amplitude mu (the relative displacement vector) and the electrostatic potential psi leads to a system of coupled differential equations. This system is here solved for a quantum well without approximations and with simultaneous satisfaction of mechanical and electrostatic matching boundary conditions. Explicit solutions for mu and psi are given, and the resulting eigenmodes for GaAs-based quantum wells are studied in detail. The model gives modes with a mixed character describing the coupling between mu and psi. Thus one single model yields confined quasi-longitudinal (strictly longitudinal for in-plane wavelength vector K = 0), confined quasi-transverse (strictly transverse for K = 0) and interface modes. The dynamical structure, spectral strength and spatial dependence of the relevant amplitudes are studied in detail. The results are in good agreement with available Raman experimental data and have all the basic features present in microscopic calculations. Some comments are made on the limitations of purely dielectric or purely mechanical models.

*Science > Physics > Quantum Physics