Eur. Phys. J. B 44, 15-20 (2005)
https://doi.org/10.1140/epjb/e2005-00094-6

Polaronic correction to the first excited electronic energy level in an anisotropic semiconductor quantum dot

Laboratory for High Intensity Optics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, P.O. Box 800-211, Shanghai, 201800, China

Corresponding author: ^a dhfeng@siom.ac.cn

Received: 22 July 2004
Revised: 23 October 2004
Published online: 16 April 2005

Abstract

Within the framework of second-order Rayleigh-Schrödinger perturbation theory, the polaronic correction to the first excited state energy of an electron in an quantum dot with anisotropic parabolic confinements is presented. Compared with isotropic confinements, anisotropic confinements will make the degeneracy of the excited states to be totally or partly lifted. On the basis of a three-dimensional Fröhlich's Hamiltonian with anisotropic confinements, the first excited state properties in two-dimensional quantum dots as well as quantum wells and wires can also be easily obtained by taking special limits. Calculations show that the first excited polaronic effect can be considerable in small quantum dots.