Transport properties in resonant tunneling heterostructures
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
Cite
@article{arxiv.cond-mat/9607088,
title = {Transport properties in resonant tunneling heterostructures},
author = {Carlo Presilla and Johannes Sjöstrand},
journal= {arXiv preprint arXiv:cond-mat/9607088},
year = {2009}
}
Comments
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