Energy states of vertically aligned quantum dot array with nonparabolic effective mass
Journal
Computers and Mathematics with Applications
Journal Volume
49
Journal Issue
1
Pages
39-51
Date Issued
2005
Author(s)
Hwang, T.-M.
Abstract
The electronic properties of a three-dimensional quantum dot array model formed by vertically aligned quantum dots are investigated numerically. The governing equation of the model is the Schrödinger equation which is incorporated with a nonparabolic effective mass approximation that depends on the energy and position. Several interior eigenvalues must be identified from a large-scale high-order matrix polynomial. In this paper, we propose numerical schemes that are capable of simulating the quantum dot array model with up to 12 quantum dots on a personal computer. The numerical experiments also lead to novel findings in the electronic properties of the quantum dot array model. © 2005 Elsevier Ltd. All rights reserved.
SDGs
Type
journal article