Abstract
According to hydrogenic-effective-mass theory, exact solutions and quantum-level structures are presented for confined electron and hydrogenic donor states in a spherical quantum dot (SQD) of GaAs-As. Calculated results reveal that the values of the quantum levels of a confined electron in a SQD can be quite different for cases with finite and infinite barrier heights. The quantum-level sequence and degeneracy for an electron in a SQD are similar to those of a super- atom of GaAs-As but different from those in a Coulomb field. There is stronger confinement and larger binding energy for a hydrogenic donor in a SQD of GaAs-As than in the corresponding quantum-well wires and two-dimensional quantum-well structures. The binding energy and its maximum of the ground state of a donor at the center of a quantum well are found to be strongly dependent on the well dimensionality and barrier height.
- Received 2 August 1989
DOI:https://doi.org/10.1103/PhysRevB.41.6001
©1990 American Physical Society