摘要

We report the binding energies of a hydrogenic-donor impurity in a cylindrically symmetric GaAs/Ga1-xAlxAs-coupled quantum disk in the presence of a uniform magnetic field for different disk and barrier thicknesses, disk radii, and donor ion positions within the disk. The magnetic field is assumed to be applied parallel to the disk axis. The calculations were performed using a variational procedure for finite-confinement potentials within the effective-mass approximation. The calculated results show that the binding energy is dependent on the interplay of the spatial confinement and magnetic-field confinement: A high magnetic field significantly enhances the binding energy in the case of weak spatial confinement. The binding energy of a hydrogenic-donor impurity in two coupled quantum disks is found to be smaller than that in a corresponding single quantum disk, due to the coupling effect between the disks. In the limits of coupled quantum wells, the results we obtain are in good agreement with those previously obtained for the case in which the donor ion is located at the center of the quantum disk.