Finite-difference calculation of donor energy levels in a spherical quantum dot subject to a magnetic field

Abstract

The ground and excited states of a donor impurity at the center of a spherical quantum dot subject to a magnetic field are calculated within the effective-mass approximation. The barriers are infinitely high and the differential equation is solved by combining the finite-difference method with the Richardson extrapolation. The binding and transition energies are more accurate than the available variational values, and excellent agreement is found with the hydrogen atom. The transition energies for a medium-size quantum dot are given. (C) 2014 Elsevier B.V. All rights reserved.