Geometry effect on magnetic susceptibility of vertically coupled nanoscale InAs/GaAs quantum rings

Yiming Li*

*Corresponding author for this work

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

1 Scopus citations

Abstract

Geometry effect on the magnetic susceptibility of vertically coupled quantum rings (VCQRs) with three shapes of structure is numerically investigated. The theoretical model of VCQRs considers a three-dimensional effective one-electronic-band Hamiltonian with the position- and energy-dependent effective mass, the finite hard-wall confinement potential, and the Ben Daniel-Duke boundary condition. With the nonlinear iterative method, the model is solved with respect to the disk-, elliptical-, and triangular-shaped VCQRs under applied magnetic fields. For nanoscale InAs/GaAs quantum rings, electron transition energy depends on the shape and size of VCQRs; it oscillates non-periodically among the lowest electron states as a function of external magnetic fields due to the penetration of magnetic fields into the inter-regions of VCQRs. Non-periodical oscillating magnetization results in that the differential susceptibility has delta-like paramagnetic peaks. The peak depends on the geometry of structure which is contrary to conventional mesoscopic arguments. Recent development of spintronics requires an extensive study of magnetic properties of nanoscale semiconductor structures. This study provides interesting results for the magneto-optical phenomena of the nanoscale semiconductor artificial molecules.

Original languageEnglish
Title of host publication2005 5th IEEE Conference on Nanotechnology
PublisherIEEE Computer Society
Pages11-14
Number of pages4
ISBN (Print)0780391993, 9780780391994
DOIs
StatePublished - 2005
Event2005 5th IEEE Conference on Nanotechnology - Nagoya, Japan
Duration: 11 Jul 200515 Jul 2005

Publication series

Name2005 5th IEEE Conference on Nanotechnology
Volume1

Conference

Conference2005 5th IEEE Conference on Nanotechnology
CountryJapan
CityNagoya
Period11/07/0515/07/05

Keywords

  • Electron transition energy
  • Magnetic field effects
  • Magnetic susceptibility
  • Magnetization
  • Modeling and simulation
  • Semi-conductor artificial molecules
  • Vertically coupled quantum rings

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