摘要
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.
| 原文 | English |
|---|---|
| 頁（從 - 到） | 811-815 |
| 頁數 | 5 |
| 期刊 | Surface Science |
| 卷 | 532-535 |
| DOIs | |
| 出版狀態 | Published - 10 6月 2003 |
| 事件 | Proceedings of the 7th International Conference on Nanometer - Malmo, 瑞典 持續時間: 29 8月 2002 → 31 8月 2002 |