The effects of scattering on current-voltage characteristics, transient response, and particle trajectories in the numerical simulation of resonant tunneling diodes

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Abstract
The relaxation-time approximation is used in the numerical simulation of the Wigner distribution function to incorporate scattering. The effects within the constant relaxation-time approximation are (a) a decrease in the peak-to-valley ratio of the current-voltage curve; (b) a reduction in the oscillations of the Wigner distribution function, especially at resonance bias; (c) a suppression of the decay time of current oscillations after a sudden bias shift, indicating a smaller switching time than for no scattering; (d) a degradation in the resonant tunneling trajectories towards the characteristics of nonresonant trajectories; (e) a decrease in the spatial range of the quantum influences near resonance; and (f) ballistic transport sets in [i.e., the mean free path of the electrons is greater than the barrier region (110 Å)] for temperatures less than 74 K.