Magnetic field dependence of electron energy states in 3D nano-scopic quantum rings

Yi-Ming Li*, O. Voskoboynikov, C. P. Lee, Cheng Feng Shih, S. M. Sze, O. Tretyak

*Corresponding author for this work

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

5 Scopus citations

Abstract

We study theoretically the electron energy states for realistic models in 3D nano-scopic semiconductor quantum rings. The effective one-band Hamiltonian approximation and the Ben Daniel-Duke boundary conditions are considered simultaneously in the model formulation. The proposed model problem is solved numerically by using central difference scheme with non-uniform meshing technique, shifted and balanced QR algorithm, and inverse iteration method. It is found that calculation results strongly depend on the radial cross shapes of InAs/GaAs quantum rings. The dependence of energy states on an external magnetic field for 3D nano-scopic quantum ring indicates there is a significant difference among those reported results with simplified ID or 2D approaches in literature. Simulation results demonstrate very good consistence with the experimental data.

Original languageEnglish
Title of host publicationProceedings of the 2001 1st IEEE Conference on Nanotechnology, IEEE-NANO 2001
PublisherIEEE Computer Society
Pages11-16
Number of pages6
ISBN (Electronic)0780372158
DOIs
StatePublished - 2001
Event1st IEEE Conference on Nanotechnology, IEEE-NANO 2001 - Maui, United States
Duration: 28 Oct 200130 Oct 2001

Publication series

NameProceedings of the IEEE Conference on Nanotechnology
Volume2001-January
ISSN (Print)1944-9399
ISSN (Electronic)1944-9380

Conference

Conference1st IEEE Conference on Nanotechnology, IEEE-NANO 2001
CountryUnited States
CityMaui
Period28/10/0130/10/01

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