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
To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.