Electronic and Level Statistics Properties of Si/SiO2 Quantum Dots

Details Electronic and Level Statistics Properties of Si/SiO2 Quantum Dots Electronic and Level Statistics Properties of Si/SiO2 Quantum Dots

2009-12-27

arxiv.org/abs/0912.5052v1

Physica E 42 (2010) 1979-1983

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 8 figures

Scientific paper

Spherical shaped Si quantum dots (QDs) embedded into the SiO2 substrate are considered in the single sub-band effective mass approach. Nonparabolicity of the Si conduction band is described by the energy dependence of electron effective mass. Calculations of low-lying single electron and hole energy levels are performed. For small sizes QD (diameter D<6nm) there is a strong confinement regime when the number of energy levels is restricted to several levels. The first order of the perturbation theory is used to calculate neutral exciton recombination energy taking into account the Coulomb force between electron and heavy hole. The PL exciton data are reproduced well by our model calculations. For weak confinement regime (size D>10 nm), when the number of confinement levels is limited by several hundred, we considered the statistical properties of the electron confinement. Distribution function for the electron energy levels is calculated and results are discussed.

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