Double-barrier resonant

THE EQUIVALENT CIRCUIT OF SPIN-DEPENDANT TRANSPORT IN DOUBLE-BARRIER RESONANT TUNNELING... 

Localization of energy exchanges in field-assisted double-barrier resonant tunneling... 

Localization of Energy Exchanges in Field-Assisted Double-Barrier Resonant Tunneling 181... 

E. Scholl, A. Amann, M. Rudolf, and J. Unkelbach Transverse spatio-temporal instabilities in the double barrier resonant tunneling diode, Phys-ica B 314, 113 (2002). 

As another example, we consider a double-barrier resonant tunneling system in ID. These artificial quantum systems, formed of semiconductor materials, have been fabricated and studied since the 1970s of last century [61]. Sakaki and co-workers verified experimentally that electrons in sufficiently thin symmetric double-barrier resonant structures exhibit exponential decay [88]. Recent work has examined the conditions for full nonexponential decay in double-barrier resonant systems [56]. Here we want to exemplify the time evolution of the probability density in these systems along the external region using the resonant expansion given by Eq. (121) [89]. 

We consider a double-barrier resonant system formed by two barriers of equal height Uo and width b situated at each side of a well of width w with typical parameters of semiconductor GaAlAs - GaAs — GaAlAs structures... 

Figure 7.11 provides a plot of T(x,f) as a function of the distance in units of the length L at a fixed time t = lOr, for the double-barrier resonant system described above (solid line). Notice that the probability density exhibits a propagating wavefront. For comparison. Figure 7.11 shows also the solution for the probability density using the Gamow s... 

Figure 7.10 Plot of Ln 14 (x,t)p as a function of time in units of the lifetime x = 0.64 ps (solid line) at a fixed distance x = lO L, for the double-barrier resonant system with parameters as discussed in the text. Also shown is the 1/f asymptotic long-time contribution (dashed line). See text.

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