Appendix B
Scattering in Discretized k-Space

The scattering models presented in Section 2.2 assume a bulk semiconductor with a continuous spectrum of energy and wavevectors. It is well established that the spatial confinement in nanostructures leads to energy quantization and thereby also influences the scattering rates. However, these effects only become appreciable, if the confinement is below 10nm. Since the coherence length chosen for a simulation typically easily exceeds this value, the effects of introducing a discretized k-space in the Wigner-Boltzmann equation are subtle and are discussed in the following.

 Elastic scattering
 Inelastic scattering
 Magnitude of discretization error