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Full Band and Approximated Solutions of the Schrödinger Equation in Silicon Inversion layers

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Simulation of Semiconductor Processes and Devices 2004

Abstract

In this paper, we investigated the quantization in the MOSFET inversion layer by solving the Schrödinger EQuation (SEQ) in the momentum space according to the 3D Full Band (FB) structure of silicon. For the first time, we explain the dependence of the eigenvalues on the momentum k in the plane of transport and discuss its periodicity. Furthermore, we discuss the solution of the SEQ around the energy minima, compare the Non-Parabolic model with the FB results, and propose a new efficient procedure to achieve an accurate energy dispersion in the subbands.

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References

  1. M. Lundstrom et al., in IEDM Tech. Dig., p. 789, 2004.

    Google Scholar 

  2. A. Svizhenko et al., in TED. Vol.50, n.6, p. 1459, 2003.

    Google Scholar 

  3. J.M. Luttinger et al., in Physical Review, Vol.97, n.4, p. 869, 1955.

    Article  MATH  Google Scholar 

  4. J.R. Chelikowsky et al., in Physical Review B, Vol.14, n.2, p. 556, 1976.

    Article  Google Scholar 

  5. M.V. Fischetti et al., in Phys.Rev.B, Vol.48, n.4, p. 2244,1993.

    Article  Google Scholar 

  6. H. Takeda et al., in Journal of Comput. Electr., Vol.1, p. 467, 2002.

    Article  Google Scholar 

  7. C. Jungemann et al., in Solid state Electr., Vol.36, n.11, p. 1529,1993.

    Article  Google Scholar 

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© 2004 Springer-Verlag Wien

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Esseni, D., Palestri, P. (2004). Full Band and Approximated Solutions of the Schrödinger Equation in Silicon Inversion layers. In: Wachutka, G., Schrag, G. (eds) Simulation of Semiconductor Processes and Devices 2004. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0624-2_4

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  • DOI: https://doi.org/10.1007/978-3-7091-0624-2_4

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-7212-4

  • Online ISBN: 978-3-7091-0624-2

  • eBook Packages: Springer Book Archive

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