Binding energy of ionized-donor-bound excitons in parabolic quantum-well wires in a magnetic field

Abstract

The properties of ionized-donor-bound excitons (D+,X) in a parabolic quantum-well wire in the presence of a magnetic field are studied numerically in the framework of effective-mass envelope function theory. The binding energy of (D+,X) structures is calculated as a function of the oscillator length for different values of the magnetic field by using the one-dimensional effective potential model and the finite-difference method. The results show that the binding energy increases as the oscillator length decreases, and that it is also increased by enhancing the magnetic field. The binding energies of the complex for the two different dissociation processes are taken into account, and their behaviors are discussed in detail. The Haynes factor is found to increase rapidly with decreasing oscillator length in the case of strong parabolic potential confinement. In addition, the average interparticle distances and the probability density distributions are investigated for a given set of values of the oscillator lengths and the magnetic field.