A deterministic solution method for the coupled system of transport equations for the electrons and phonons in polar semiconductors

We present a multigroup model of the Boltzmann equations governing the transient transport regime in polar semiconductors. Efforts have been made to give an accurate description of the coupled hot-electron hot-phonon system, which allows us to study the modifications of the carrier and longitudinal optical phonon distribution functions in comparison to the usual equilibrium phonon calculations. Computations are performed for InP, taking into account all the relevant scattering mechanisms. We investigate the response of the coupled electron-phonon system to a step-like high dc electric field pulse. Moreover, we discuss the relation between our model and a matrix method.