Resonant hyper-Raman scattering in spherical quantum dots

E. Menéndez-Proupin, C. Trallero-Giner, and A. García-Cristobal
Phys. Rev. B 60, 5513 – Published 15 August 1999
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Abstract

A theoretical model of resonant hyper-Raman scattering by an ensemble of spherical semiconductor quantum dots has been developed. The electronic intermediate states are described as Wannier-Mott excitons in the framework of the envelope function approximation. The optical polar vibrational modes of the nanocrystallites (vibrons) and their interaction with the electronic system are analyzed with the help of a continuum model satisfying both the mechanical and electrostatic matching conditions at the interface. An explicit expression for the hyper-Raman scattering efficiency is derived, which is valid for incident two-photon energy close to the exciton resonances. The dipole selection rules for optical transitions and Fröhlich-like exciton-lattice interaction are derived: It is shown that only exciton states with total angular momentum L=0,1 and vibrational modes with angular momentum lp=1 contribute to the hyper-Raman scattering process. The scattering spectrum and resonance profile are calculated for spherical CdSe zinc-blende-type nanocrystals. Their dependence on the dot radius and the influence of the size distribution on them are also discussed.

  • Received 27 July 1998

DOI:https://doi.org/10.1103/PhysRevB.60.5513

©1999 American Physical Society

Authors & Affiliations

E. Menéndez-Proupin and C. Trallero-Giner

  • Departamento de Física Teórica, Universidad de La Habana, Vedado 10400, La Habana, Cuba

A. García-Cristobal

  • Departamento de Física Aplicada, Universidad de Valencia, E-46100 Burjassot, Spain

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Issue

Vol. 60, Iss. 8 — 15 August 1999

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