Pa. Childs et Ccc. Leung, ONE-DIMENSIONAL SOLUTION OF THE BOLTZMANN TRANSPORT-EQUATION INCLUDING ELECTRON-ELECTRON INTERACTIONS, Journal of applied physics, 79(1), 1996, pp. 222-227
In this article a technique is described for solving the one-dimension
al spatially dependent Boltzmann transport equation with electron-elec
tron interactions included in the scattering model. The analysis is il
lustrated by solving the Boltzmann transport equation over a potential
profile typical of that found in the channel of a metal-oxide-semicon
ductor field-effect transistor. A comparison is made between the distr
ibution functions obtained when electron-electron interactions are inc
luded and excluded from the scattering model. It is found that electro
n-electron interactions significantly increase the electron population
at energies greater than are available from the electric field. (C) 1
996 American Institute of Physics.