K. L. Janssens, F. M. Peeters, V. A. Schweigert
Published 2000-02-25, updated 2000-09-19Version 2
The groundstate energy and binding energy of an exciton, confined in a^M quantum disk, are calculated as a function of an external magnetic field. The confinement potential is a hard wall of finite height. The diamagnetic shift is investigated for magnetic fields up to 40$T$. Our results are applied to $In_{y}Al_{1-y}As/Al_{x}Ga_{1-x}As$ self-assembled quantum dots and very good agreement with experiments is obtained. Furthermore, we investigated the influence of the dot size on the diamagnetic shift by changing the disk radius. The exciton excited states are found as a function of the magnetic field. The relative angular momentum is not a quantum number and changes with the magnetic field strength.
Comments: 10 pages, 17 figures
Two-dimensional electron gas in a periodic potential and external magnetic field: states of pairs and three-particle systems
Spin relaxation in the impurity band of a semiconductor in the external magnetic field
Anisotropy of zero-bias diffusive anomalies for different orientations of an external magnetic field
