Simulation of dynamic particle trajectories through resonant-tunneling structures based upon Wigner distribution function

The dynamic particle trajectories of a resonant-tunneling structure at large bias conditions are investigated based upon the phase space description in the Wigner distribution function. The procedure for the Wigner trajectory calculation is presented in detail. We demonstrate the dynamic behaviors of the quantum tunneling trajectories and the steady-state tunneling times, corresponding with the transmission coefficient spectra and the classical particle trajectories. The Wigner trajectory technique presented in this paper can provide an instructive description of carrier nonequilibrium quantum transport distinct from the conventional carrier statistics such as carrier density and current density distributions. Thus, it will be available to understand the dynamic behaviors of various nanostructure devices.