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VLSI Design
Volume 6, Issue 1-4, Pages 257-260
http://dx.doi.org/10.1155/1998/14582

Self-Consistent Solution of the Multi Band Boltzmann, Poisson and Hole-Continuity Equations

Department of Electrical Engineering, University of Maryland College Park, 20742, MD, USA

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The Boltzmann transport equation (BTE) for multiple bands is solved by the spherical harmonic approach. The distribution function is obtained for energies greater than 3 eV. The BTE is solved self consistently with the Poisson equation for a one dimensional npn bipolar junction transistor (BJT). The novel features are: the use of boundary fitted curvilinear grid, and Scharfetter Gummel type discretization of the BTE.