Fröhlich electron-phonon interaction Hamiltonian in a quantum dot quantum well

Li Zhang, Hong-Jing Xie, and Chuan-Yu Chen
Phys. Rev. B 66, 205326 – Published 27 November 2002
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Abstract

The phonon modes of a quantum dot quantum well (QDQW) in the nonpolar dielectric surrounding medium are deduced by using the dielectric continuum model. The confined longitudinal-optical (LO) phonon modes both in the core material (LO1) and in the shell material (LO2), interface optical (IO) and surface optical (SO) phonon modes, as well as the corresponding Fröhlich electron-phonon interaction Hamiltonians are derived. A proper eigenfunction for LO1 modes is adopted and a legitimate eigenfunction for LO2 modes is constructed to describe the vibrating of the LO phonons. Numerical calculations are performed on a HgS/CdS QDQW, and the results reveal that there are three branches of IO or SO phonon frequencies in the system. With increasing quantum number l, the frequencies of two branches approach those in the single HgS/CdS heterostructure and the reason for this feature is explained. Bigger l and a thicker spherical shell make the potentials of IO or SO phonon modes more localized at a certain interface or surface. The study also reveals that the electron-SO phonon coupling is more significant.

  • Received 23 May 2002

DOI:https://doi.org/10.1103/PhysRevB.66.205326

©2002 American Physical Society

Authors & Affiliations

Li Zhang*

  • Department of Mechanism and Electron, Panyu Polytechnic, Panyu, 511483, People’s Republic of China
  • Department of Physics, Guihuagang Campus, Guangzhou University, Guangzhou 510405, China

Hong-Jing Xie

  • Department of Physics, Guihuagang Campus, Guangzhou University, Guangzhou 510405, China

Chuan-Yu Chen

  • Department of Physics, Guihuagang Campus, Guangzhou University, Guangzhou 510405, China

  • *Corresponding author. Mailing address: Department of Physics, Guihuagang Campus, Guangzhou University, Guangzhou 510405, P. R. China. Email address: zhangli-gz@263.net

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Vol. 66, Iss. 20 — 15 November 2002

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