Resonant Raman scattering in self-assembled quantum dots
- 15 December 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 60 (24) , 16747-16757
- https://doi.org/10.1103/physrevb.60.16747
Abstract
A theoretical treatment for first-order resonant Raman scattering in self-assembled quantum dots (SAQD’s) of different materials is presented. The dots are modeled as cylindrical disks with elliptical cross section, to simulate shape and confinement anisotropies obtained from the SAQD growth conditions. Coulomb interaction between electron and hole is considered in an envelope function Hamiltonian approach and the eigenvalues and eigenfunctions are obtained by a matrix diagonalization technique. By including excitonic intermediate states in the Raman process, the scattering efficiency and cross section are calculated for long-range Fröhlich exciton-phonon interaction. The Fröhlich interaction in the SAQD is considered in an approach in which both the mechanical and electrostatic matching boundary conditions are fulfilled at the SAQD interfaces. Exciton and confined phonon selection rules are derived for Raman processes. Characteristic results for SAQD’s are presented, including InAs dots in GaAs, as well as CdSe dots in ZnSe substrates. We analyze how Raman spectroscopy would give information on carrier masses, confinement anisotropy effects, and SAQD geometry.Keywords
This publication has 22 references indexed in Scilit:
- Raman study of interface modes subjected to strain in InAs/GaAs self-assembled quantum dotsPhysical Review B, 1998
- Analytical predictions for the magnetoelectric coupling in piezomagnetic materials reinforced by piezoelectric ellipsoidal inclusionsPhysical Review B, 1998
- Optical vibrons in CdSe dots and dispersion relation of the bulk materialPhysical Review B, 1998
- Shell structure and electron-electron interaction in self-assembled InAs quantum dotsEurophysics Letters, 1996
- Phonons in self-assembled (In,Ga,Al)Sb quantum dotsApplied Physics Letters, 1996
- Geometrical-confinement effects on excitons in quantum disksPhysical Review B, 1995
- Electron–LO-phonon interaction in semiconductor double heterostructuresPhysical Review B, 1988
- Interface Vibrational Modes in GaAs-AlAs SuperlatticesPhysical Review Letters, 1985
- Handbook of Mathematical FunctionsAmerican Journal of Physics, 1966
- Intensity of Optical Absorption by ExcitonsPhysical Review B, 1957