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Transport properties in resonant tunneling heterostructures

Carlo Presilla·Johannes Sjöstrand
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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 Schrödinger 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 Schrödinger equations and dynamical systems.

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Carlo Presilla, Johannes Sjöstrand. 1996-07-12. Transport properties in resonant tunneling heterostructures. https://doi.org/10.1063/1.531671

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