The Keldysh action of a multi-terminal time-dependent scatterer
Mesoscale and Nanoscale Physics
2013-08-28 v1
Abstract
We present a derivation of the Keldysh action of a general multi-channel time-dependent scatterer in the context of the Landauer-B\"uttiker approach. The action is a convenient building block in the theory of quantum transport. This action is shown to take a compact form that only involves the scattering matrix and reservoir Green functions. We derive two special cases of the general result, one valid when reservoirs are characterized by well-defined filling factors, the other when the scatterer connects two reservoirs. We illustrate its use by considering Full Counting Statistics and the Fermi Edge Singularity.
Cite
@article{arxiv.0801.2293,
title = {The Keldysh action of a multi-terminal time-dependent scatterer},
author = {I. Snyman and Y. V. Nazarov},
journal= {arXiv preprint arXiv:0801.2293},
year = {2013}
}
Comments
13 pages, 2 figures, submitted to PRB