Time-dependent transport in interacting and non-interacting mesoscopic systems
Abstract
We consider a mesoscopic region coupled to two leads under the influence of external time-dependent voltages. The time dependence is coupled to source and drain contacts, the gates controlling the tunnel- barrier heights, or to the gates which define the mesoscopic region. We derive, with the Keldysh nonequilibrium Green function technique, a formal expression for the fully nonlinear, time-dependent current through the system. The analysis admits arbitrary interactions in the mesoscopic region, but the leads are treated as noninteracting. For proportionate coupling to the leads, the time-averaged current is simply the integral between the chemical potentials of the time-averaged density of states, weighted by the coupling to the leads, in close analogy to the time-independent result of Meir and Wingreen (PRL {\bf 68}, 2512 (1992)). Analytical and numerical results for the exactly solvable non-interacting resonant-tunneling system are presented.
Cite
@article{arxiv.cond-mat/9404027,
title = {Time-dependent transport in interacting and non-interacting mesoscopic systems},
author = {Antti-Pekka Jauho and Ned S. Wingreen and Yigal Meir},
journal= {arXiv preprint arXiv:cond-mat/9404027},
year = {2009}
}
Comments
42 pages, 13 figures (available either as ps-files, or as FAX, upon request), RevTex 3.0