Transport properties in resonant tunneling heterostructures
arXiv:cond-mat/9607088 · doi: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 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.
25 pages including 9 postscript figures; requires REVTeX 3.0, psfig; uuencoded gz-compressed .tar file; preprint 1133 April 96 Ecole Polytechnique to be published in J. Math. Phys. october 1996
References in corpus (1)
Cited by in corpus (8)
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- The Initial Value Problem, Scattering and Inverse Scattering, for Non-Linear Schrödinger Equations with a Potential and a Non-Local Non-Linearity
- Wave operators, similarity and dynamics for a class of Schroedinger operators with generic non-mixed interface conditions in 1D
- An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances
- A quantum evolution problem in the regime of quantum wells in a semiclassical island with artificial interface conditions