Full-Band Monte Carlo Study of Hot Carriers for Advection-Diffusion Monte Carlo Simulations

Diffusion of carriers under high electric field is studied using full-band Monte Carlo simulations. The diffusion of hot carriers is found to be strongly anisotropic with respect to the electric field direction and to be times higher than the one predicted by the Einstein's law. A new calibration of analytical models is proposed to account for the anisotropy of the diffusion coefficient as well of the impact of the electric field. The effect of the new model is illustrated by studying its impact on the lateral and longitudinal spread of the electronic avalanches that occur in single-photon avalanche diodes, using advection-diffusion Monte Carlo.