Abstract
We study the electron and hole energy states for a complete three-dimensional (3D) model of semiconductor nano-scale quantum rings in an external magnetic field. In this study, the model formulation includes: (i) the position dependent effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the position dependent effective mass Hamiltonian in parabolic approximation for holes, (iii) the finite hard wall confinement potential, and (iv) the Ben Daniel-Duke boundary conditions. To solve this 3D non-linear problem, we apply the non-linear iterative method to obtain self-consistent solutions. We find a non-periodical oscillation of the energy band gap between the lowest electron and hole states as a function of external magnetic fields. The result is useful in describing magneto-optical properties of the nano-scale quantum rings.
| Original language | English |
|---|---|
| Pages (from-to) | 811-815 |
| Number of pages | 5 |
| Journal | Surface Science |
| Volume | 532-535 |
| DOIs | |
| State | Published - 10 Jun 2003 |
| Event | Proceedings of the 7th International Conference on Nanometer - Malmo, Sweden Duration: 29 Aug 2002 → 31 Aug 2002 |
Keywords
- Computer simulations
- Gallium arsenide
- Heterojunctions
- Indium arsenide
- Magnetic phenomena (cyclotron resonance, phase transitions, etc.)
- Quantum effects