Comparison of Hydrodynamic Formulations for Non-Parabolic Semiconductor Device Simulations
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.
KeywordsDispersion Relation Hydrodynamic Model Flux Equation Binomial Expansion Parabolic Case
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