Cross-correlation of two interacting conductors
Mesoscale and Nanoscale Physics
2009-11-13 v3
Abstract
We calculate the current cross-correlation for two weakly interacting mesoscopic conductors. Our derivation is based on the two-particle scattering matrix derived in Goorden and B\"uttiker [Phys. Rev. Lett. {\bf 99}, 146801 (2007)]. We include the Fermi sea in the leads into the theory and show how to calculate transport quantities and specifically cross-correlations. We focus on the zero-frequency current cross-correlation of two chaotic quantum dots and calculate the magnitude of its fluctuations with the help of Random Matrix Theory.
Keywords
Cite
@article{arxiv.0801.1631,
title = {Cross-correlation of two interacting conductors},
author = {M. C. Goorden and M. Buttiker},
journal= {arXiv preprint arXiv:0801.1631},
year = {2009}
}
Comments
7 pages, 2 figures (v2, minor changes, added references)