S. Reggiani et al., INVESTIGATION ON ELECTRON AND HOLE TRANSPORT-PROPERTIES USING THE FULL-BAND SPHERICAL-HARMONICS EXPANSION METHOD, I.E.E.E. transactions on electron devices, 45(9), 1998, pp. 2010-2017
The full-band spherical-harmonics solution of the Boltzmann transport
equation in silicon is achieved for both the conduction and valence ba
nd. The relevant scattering mechanisms (impact ionization, acoustic an
d optical phonons, ionized impurities) are modeled consistently. Compa
rison with Monte Carlo carrier-distribution functions at different ele
ctric fields emphasize the importance of a correct description of the
band structure and scattering rates. The acoustic-phonon model is impr
oved, the models of multiple collisions and impurity clustering, and t
he partial ionization of impurities are introduced. Comparison with ex
perimental mobility data shows agreement over a,vide range of temperat
ures and doping concentrations.