Abstract

The transmission line technique to solve the time independent Schrödinger equation is modified to include the effect of elastic scattering by introducing a scattering impedance Z s = 4 jV 0/ℏ. The method is applied to calculate the current-voltage and traversal time characteristics of double barrier resonant tunneling structures. The peak current density for a random distribution of scatterers in the quantum well decreases while it increases for scattering at a fixed location compared to its value in the absence of any scatterers. Traversal time decreases with applied bias and shows distinct dips at resonance. The traversal time through an asymmetric resonant tunneling structure is also investigated.

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