Comparison of Hydrodynamic Formulations for Non-Parabolic Semiconductor Device Simulations

  • Arlynn W. Smith
  • Kevin F. Brennan
Conference paper


This paper presents two non-parabolic hydrodynamic model formulations suitable for the simulation of inhomogeneous semiconductor devices. The first formulation uses the Kane dispersion relationship, (ℏk)2/2m = W(1 + αW). The second formulation makes use of a power law, (ℏk)2/2m = xWy, for the dispersion relation. Hydrodynamic models which use the first formulation rely on the binomial expansion to obtain closed form coefficients. The power law formulation produces closed form coefficients similar to those under the parabolic band approximation.


Dispersion Relation Hydrodynamic Model Flux Equation Binomial Expansion Parabolic Case 
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Copyright information

© Springer-Verlag Wien 1995

Authors and Affiliations

  • Arlynn W. Smith
    • 1
  • Kevin F. Brennan
    • 1
  1. 1.Microelectronics Research CenterGeorgia Institute of TechnologyAtlantaUSA

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