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

  • Y. Li
  •  Voskoboynikov
  • C.P. Lee
  • S.M. Sze
  • O. Tretyak

Abstract:

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.

PACS. 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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Copyright information

© EDP Sciences, Springer-Verlag 2002

Authors and Affiliations

  • Y. Li
    • 1
  •  Voskoboynikov
    • 2
  • C.P. Lee
    • 2
  • S.M. Sze
    • 1
  • O. Tretyak
    • 3
  1. 1.National Nano Device Laboratories, Hsinchu 300, TaiwanTW
  2. 2.Institute of Electronics, National Chiao Tung University, Hsinchu 300, TaiwanTW
  3. 3.Kiev Taras Shevchenko University, 01033, Kiev, UkraineUA

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