Transport properties in resonant tunneling heterostructures
- 1 October 1996
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 37 (10) , 4816-4844
- https://doi.org/10.1063/1.531671
Abstract
We use an adiabatic approximation in terms of instantaneous resonances to study the steady-state and time-dependent transport properties of interacting electrons in biased resonant tunneling heterostructures. This approach leads, in a natural way, to a transport model of large applicability consisting of reservoirs coupled to regions where the system is described by a nonlinear Schr\"odinger equation. From the mathematical point of view, this work is non-rigorous but may offer some fresh and interesting problems involving semiclassical approximation, adiabatic theory, non-linear Schr\"odinger equations and dynamical systems.Keywords
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