Spin-orbit interaction and energy states in nanoscale semiconductor quantum rings

Yi-Ming Li*

*Corresponding author for this work

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

Abstract

We study the effect of spin-orbit iteration on the electron energy spectra in tree-dimensional (3D) nanoscale semiconductor quantum rings. Ultrasmall InAs quantum ring embedded in GaAs matrix is numerically solved with the effective one electronic band Hamiltonian, the energy- and position-dependent electron effective mass approximation, and the spin-dependent Ben Daniel-Duke boundary conditions. The multishift QR algorithm is implemented in the nonlinear iterative method for solving the corresponding nonlinear eigenvalue problem. It is found that the spin-dependent boundary conditions lead to a spin-splitting of the electron energy states with non-zero angular momentum. The splitting is strongly dependent on the ring dimension. Meanwhile, it is larger than that of quantum dot and demonstrates an experimentally measurable quantity for relatively small quantum rings.

Original languageEnglish
Title of host publication2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004
EditorsM. Laudon, B. Romanowicz
Pages53-56
Number of pages4
StatePublished - 7 Mar 2004
Event2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004 - Boston, MA, United States
Duration: 7 Mar 200411 Mar 2004

Publication series

Name2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004
Volume3

Conference

Conference2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004
CountryUnited States
CityBoston, MA
Period7/03/0411/03/04

Keywords

  • Computer simulation
  • Mathematical modeling
  • Multishift QR algorithm
  • Nanoscale semiconductor quantum rings
  • Spin-orbit interaction

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