Numerical simulation of three-dimensional vertically aligned quantum dot array

Abstract

We study the electronic properties of quantum dot arrays formed by 2 to 12 vertically aligned quantum dots numerically. Numerical schemes in grid points choosing, finite differences, matrix reduction, and large-scale eigenvalue problem solver are discussed. The schemes allow us to compute all the desired energy states and the wave functions efficiently. Numerical experiment results are presented. © Springer-Verlag Berlin Heidelberg 2005.