@inproceedings{c603c3940c5d4ab1a7e3d652e8cb4b0c,
title = "Investigation of magnetic field effects on energy gap for nanoscale InAs/GaAs semiconductor ring structures",
abstract = "We investigate the electron and hole energy states for ellipsoidal and rectangular torus-shaped InAs/GaAs semiconductor quantum rings in an external magnetic field. Our realistic three-dimensional (3D) model construction is based on: (i) the effective mass Hamiltonian in non-parabolic approximation for electrons, (ii) the effective mass Hamiltonian in parabolic approximation for holes, (iii) the position- and energy-dependent quasi-particle effective mass approximation for electrons, (iv) the finite hard wall confinement potential, and (v) the Ben Daniel-Duke boundary conditions. To solve this 3D nonlinear problem, we apply the nonlinear iterative method to obtain self-consistent solutions. Due to the penetration of the applied magnetic field into the torus region, we have found a non-periodical oscillation of the energy band gap versus magnetic fields between the lowest electron and hole states. The oscillation is shape- and size-dependent. The result is useful to describe magneto-optical properties of the nano-scale quantum rings.",
keywords = "Boundary conditions, Charge carrier processes, Effective mass, Energy states, Gallium arsenide, Iterative methods, Magnetic confinement, Magnetooptic effects, Photonic band gap, Toroidal magnetic fields",
author = "Yi-Ming Li and Lu, {Hsiao Mei} and O. Voskoboynikov and Lee, {C. P.} and Sze, {S. M.}",
year = "2002",
doi = "10.1109/SISPAD.2002.1034540",
language = "English",
series = "International Conference on Simulation of Semiconductor Processes and Devices, SISPAD",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "155--158",
booktitle = "2002 International Conference on Simulation of Semiconductor Processes and Devices, SISPAD 2002",
address = "United States",
note = "null ; Conference date: 04-09-2002 Through 06-09-2002",
}