Resonant tunneling transients and decay for a one-dimensional double barrier potential

Abstract

Erratum: "Resonant tunneling transients and decay for a one-dimensional double barrier structure" [J. Appl. Phys.97, 013705 (2005)] J. Appl. Phys. 99, 089901 (2006); 10.1063/1.2175355 Observation of resonant tunneling through a quantized state in InP quantum dots in a double-barrier heterostructure Appl.Motivated by recent experimental work on quantum dots subjected to voltage pulses we consider a simple model to study the transition between off-resonance and on-resonance scattering states with the same incident energy in response to a sudden change in the well depth of a double barrier potential structure. The change displaces the real part of the resonance energy to coincide with the incident energy. The resonance buildup is not given by a pure exponential growth due to the interference between incident and resonance components represented by nearby poles, but the resonance lifetime is a relevant time scale. The reverse process (resonance depletion) that follows the opposite change in the well depth detunes the resonance level and the incident energy but, except for short and long time deviations, the decay is exponential with the lifetime of the displaced resonance. For a larger change in the well depth beyond a critical depth, trapping dominates rather than decay since the resonance becomes a bound state.

Buildup and decay dynamics of exponentially modulated quantum waves in resonant structures

“…It is precisely in this regime of very extended states where the approaches dealing with the time-evolution of cutoff plane waves (quantum shutter model) using resonance state expansions have proven to be useful tools to explore the dynamics in resonant structures [25]. These approaches have allowed to study the charge buildup time in double barrier structures [26][27][28][29], where it has been found that the electronic buildup obeys a capacitor charge-law characterized by a time constant of two lifetimes [27,28], and also the time scale for the fastest tunnelling response in resonant devices [30]. Gaussian wave packets and cutoff plane waves have been two different mutually exclusive dynamical approaches.…”

A Basis for Causal Scattering Waves, Relativistic Diffraction in Time Functions

“…These temporal oscillations are a pure quantum phenomenon, and similar oscillations arise at the moment of closing and opening gates in nanoscopic circuits [3]. With adequate potentials added to the model, it has been used to study transient dynamics of tunneling matter waves [4]- [7], and the transient responses to abrupt changes of the interaction potential in semiconductor structures and quantum dots [8] [9]. For a review on the subject see [10] [11].…”

Low Temperature Plasma Enhanced Chemical Vapor Deposition-Synthesized Electrochromic MoOxCy Thin Films for Flexible Electrochromic Devices

“…Alternatively, the evolution of an individual plane wave can be viewed [5] as the response of the free solution under the instantaneous onset of the potential barrier at t = 0, nowadays an experimentally feasible manipulation [6].…”