Multigroup Equations for the Description of the Particle Transport in Semiconductors

In this chapter, we present numerical results for the transport of electrons in bulk GaAs, in a GaAs n + - n i - n + diode and in a GaAs-MESFET obtained by means of our multigroup approach (8.17). All of these calculations are performed for the lattice temperature T L = 300 K. We approximate the conduction band of GaAs by taking into account the ?-valley in the center of the first Brillouin zone and four equivalent L-valleys along the crystallographic directions ?1, 1, 1 ?. The zero energy level is set to the energy of the bottom of the ?-valley, in other words, ? 0? = 0. In our transport model for GaAs, we regard the acoustic deformation potential scattering (ADP) with the transition rate
| (10.1) | |
and the ionized impurity scattering (IMP)
| (10.2) | |
with the screening parameter
= e 2 N I/ ? st ? 0 k B T L. The most important intravalley scattering mechanism for GaAs is the polar optical interaction (POP) with the transition rate
| (10.3) | |
| Quantity | Symbol | Unit | Value | |
|---|---|---|---|---|
| Mass density | ? | kgm -3 | 5360 | |
| Sound velocity | v s | ms -1 | 5240 | |
| Static dielectric constant | ? st | 12.90 | ||
| High-frequency dielectric constant | ? hf | 10.92 | ||
| Acoustic deformation potential | D A | eV | 7 | |
| Optical deformation potential | D O | eVm -1 | 10 11 | |
| Non-polar optical phonon energy |