A self-consistent solution of the Poisson, Schrödinger and Boltzmann equations for GaAs devices by a deterministic solver

A deterministic solver based on the Fourier harmonics expansion of the Boltzmann equation is applied to the case of GaAs devices including polar optical phonon scattering and the Pauli principle. The system of the Poisson, Schrödinger and Boltzmann equations is solved self-consistently. Results are presented for a double-gate nMOSFET which shows a velocity overshoot in the channel region and electrons lose their energy by an optical phonon cascade.