Electron energy state spin-splitting in 3D cylindrical semiconductor quantum dots

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In this article we study the impact of the spin-orbit interaction on the electron quantum confinement for narrow gap semiconductor quantum dots. The model formulation includes: (1) the effective one-band Hamiltonian approximation; (2) the position-and energy-dependent quasi-particle effective mass approximation; (3) the finite hard wall confinement potential; and (4) the spin-dependent Ben Daniel-Duke boundary conditions. The Hartree-Fock approximation is also utilized for evaluating the characteristics of a two-electron quantum dot system. In our calculation, we describe the spin-orbit interaction which comes from both the spin-dependent boundary conditions and the Rashba term (for two-electron quantum dot system). It can significantly modify the electron energy spectrum for InAs semiconductor quantum dots built in the GaAs matrix. The energy state spin-splitting is strongly dependent on the dot size and reaches an experimentally measurable magnitude for relatively small dots. In addition, we have found the Coulomb interaction and the spin-splitting are suppressed in quantum dots with small height.

Original languageEnglish
Pages (from-to)475-481
Number of pages7
JournalEuropean Physical Journal B
Issue number4
StatePublished - 2 Aug 2002


  • 71.70.Ej Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect
  • 73.21.La Quantum dots
  • 78.20.Bh Theory, models, and numerical simulation
  • 85.35.Be Quantum well devices (quantum dots, quantum wires, etc.)

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