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Inclusion of Electron-Electron Scattering in the Spherical Harmonics Expansion Treatment of the Boltzmann Transport Equation

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Simulation of Semiconductor Devices and Processes

Abstract

A new methodology is proposed to include the short range electron-electron interaction in the Spherical Harmonics Expansion approach to the Boltzmann Transport Equation, in the frame of spherical and non-parabolic bands. The electron energy distribution is computed in the uniform field case, and large corrections in the high-energy tail are observed.

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References

  1. D. Ventura et al. An Efficient Method for Evaluating the Energy Distribution of Electrons in Semiconductors Based on Spherical Harmonics Expansion,IEICE Trans. Electron., vol. E75-C, no. 2, p. 194, 1992

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  2. A. Gnudi et al. One-Dimensional Simulation of a Bipolar Transistor by Means of Spherical Harmonics Expansion of the Boltzmann Transport Equation,Proc. of the SISDEP ‘91 Conf., p. 205, September 1991, Zurich

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  3. D. Ventura et al. Multidimensional Spherical Harmonics Expansion of Boltzmann Equation for Transport in Semiconductors, Appl. Math. Lett., vol. 5, no. 3, p. 85, 1992

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© 1993 Springer-Verlag Wien

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Ventura, D., Gnudi, A., Baccarani, G. (1993). Inclusion of Electron-Electron Scattering in the Spherical Harmonics Expansion Treatment of the Boltzmann Transport Equation. In: Selberherr, S., Stippel, H., Strasser, E. (eds) Simulation of Semiconductor Devices and Processes. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6657-4_39

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  • DOI: https://doi.org/10.1007/978-3-7091-6657-4_39

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-7372-5

  • Online ISBN: 978-3-7091-6657-4

  • eBook Packages: Springer Book Archive

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