Transport properties in resonant tunneling heterostructures

Details Transport properties in resonant tunneling heterostructures Transport properties in resonant tunneling heterostructures

1996-07-12

arxiv.org/abs/cond-mat/9607088v1

J. Math. Phys. 37 (1997), 4816-4844

Physics

Condensed Matter

25 pages including 9 postscript figures; requires REVTeX 3.0, psfig; uuencoded gz-compressed .tar file; preprint 1133 April 96

Scientific paper

10.1063/1.531671

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.

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