Investigation of magnetic field effects on energy gap for nanoscale InAs/GaAs semiconductor ring structures

Yi-Ming Li, Hsiao Mei Lu, O. Voskoboynikov, C. P. Lee, S. M. Sze

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publication2002 International Conference on Simulation of Semiconductor Processes and Devices, SISPAD 2002
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages155-158
Number of pages4
ISBN (Electronic)4891140275
DOIs
StatePublished - 2002
EventInternational Conference on Simulation of Semiconductor Processes and Devices, SISPAD 2002 - Kobe, Japan
Duration: 4 Sep 20026 Sep 2002

Publication series

NameInternational Conference on Simulation of Semiconductor Processes and Devices, SISPAD
Volume2002-January

Conference

ConferenceInternational Conference on Simulation of Semiconductor Processes and Devices, SISPAD 2002
CountryJapan
CityKobe
Period4/09/026/09/02

Keywords

  • Boundary conditions
  • Charge carrier processes
  • Effective mass
  • Energy states
  • Gallium arsenide
  • Iterative methods
  • Magnetic confinement
  • Magnetooptic effects
  • Photonic band gap
  • Toroidal magnetic fields

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