Time-dependent Landauer-B\"uttiker formula for transient dynamics
Mesoscale and Nanoscale Physics
2013-03-28 v1
Abstract
We solve analytically the Kadanoff-Baym equations for a noninteracting junction connected to an arbitrary number of noninteracting wide-band terminals. The initial equilibrium state is properly described by the addition of an imaginary track to the time contour. From the solution we obtain the time-dependent electron densities and currents within the junction. The final results are analytic expressions as a function of time, and therefore no time propagation is needed - either in transient or in steady-state regimes. We further present and discuss some applications of the obtained formulae.
Cite
@article{arxiv.1303.6201,
title = {Time-dependent Landauer-B\"uttiker formula for transient dynamics},
author = {Riku Tuovinen and Robert van Leeuwen and Enrico Perfetto and Gianluca Stefanucci},
journal= {arXiv preprint arXiv:1303.6201},
year = {2013}
}