Deterministic Boltzmann equation solver for graphene sheets including self-heating effects

A deterministic Boltzmann equation solver for graphene sheets is developed. The self-heating effect is included. The Boltzmann transport equation is expanded with the Fourier harmonics. The remote phonon scattering as well as the intrinsic phonon scatterings are considered. The angle-dependent term of the remote phonon scattering is accurately implemented. Impact of the maximum order of the Fourier harmonics expansion on the simulation results is demonstrated. Negative differential mobility is clearly observed in the simulation with the self-heating effect.