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Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson Model of Hot Electron Transport by Averaged Empirical Pseudopotential Band Structures. (arXiv:1512.05403v2 [cs.CE] UPDATED)
来源于:arXiv
The purpose of this work is to incorporate numerically, in a discontinuous
Galerkin (DG) solver of a Boltzmann-Poisson model for hot electron transport,
an electronic conduction band whose values are obtained by the spherical
averaging of the full band structure given by a local empirical pseudopotential
method (EPM) around a local minimum of the conduction band for silicon, as a
midpoint between a radial band model and an anisotropic full band, in order to
provide a more accurate physical description of the electron group velocity and
conduction energy band structure in a semiconductor. This gives a better
quantitative description of the transport and collision phenomena that
fundamentally define the behaviour of the Boltzmann - Poisson model for
electron transport used in this work. The numerical values of the derivatives
of this conduction energy band, needed for the description of the electron
group velocity, are obtained by means of a cubic spline interpolation. The
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