Continuum electron wavefunction shifts in semiconductor quantum dot

Abstract

In this paper, the mathematical model for electron wavefunction shifts in the continuum part of the electronic spectrum of a GaAs-Al0.3Ga0.7As based semiconductor quantum dot (QD) is presented. The electron states in the continuum are obtained by solving the Schrodinger equation written in the effective-mass approximation. The influence of accumulated charges in the well region of QD an conduction band bending in this model is taken via self-consistent procedure. Analytical derivation and numerical calculations of the behavior of electron wavefunction shifts, considered as they depend on electron energy in the high energy limit, show their considerable deviation from those expected according to Levinsons theorem violation in the case of QD is the effective-mass mismatch at the heterointerface of Qd constitutive materials.