Please use this identifier to cite or link to this item:
Title: Efficient method for calculating electronic states in self-assembled quantum dots
Authors: Roy, Mervyn
Maksym, P. A.
First Published: 2003
Citation: Physical Review B, 2003, 68 (23), 235308.
Abstract: It is demonstrated that the bound electronic states of a self-assembled quantum dot may be calculated more efficiently with a harmonic-oscillator (HO) basis than with the commonly used plane-wave basis. First, the bound electron states of a physically realistic self-assembled quantum dot model are calculated within the single-band, position-dependent effective mass approximation including the full details of the strain within the self-assembled dot. A comparison is then made between the number of states needed to diagonalize the Hamiltonian with either a HO or a plane-wave basis. With the harmonic-oscillator basis, significantly fewer basis functions are needed to converge the bound-state energies to within a fraction of a meV of the exact energies. As the time needed to diagonalize the matrix varies as the cube of the matrix size this leads to a dramatic decrease in the computing time required. With this basis the effects of a magnetic field may also be easily included. This is demonstrated, and the field dependence of the bound electron energies is shown.
DOI Link: 10.1103/PhysRevB.68.235308
ISSN: 1098-0121
Type: Article
Rights: This is the author's final draft of the paper published as Physical Review B, 2003, 68 (23), 235308. The final version is available from Doi: 10.1103/PhysRevB.68.235308
Appears in Collections:Published Articles, Dept. of Physics and Astronomy

Files in This Item:
File Description SizeFormat 
prb-68-235308-2003-draft.pdf170.01 kBAdobe PDFView/Open

Items in LRA are protected by copyright, with all rights reserved, unless otherwise indicated.