Current cross-correlations in a quantum Hall collider at filling factor two
Mesoscale and Nanoscale Physics
2022-09-08 v1 Strongly Correlated Electrons
Abstract
We use the non-equilibrium bosonization technique to study the effects of Coulomb interactions in mesoscopic electron colliders based on quantum Hall (QH) edge states at filing factor . The current cross-correlations and Fano factor, which carry the information about the exclusion statistics, are calculated. It is shown that both these quantities have a non-analytical dependence on the source transparency, which scales as at small . This is the consequence of electron-electron interactions in the outgoing non-equilibrium states of the collider.
Cite
@article{arxiv.2201.08147,
title = {Current cross-correlations in a quantum Hall collider at filling factor two},
author = {Edvin G. Idrisov and Ivan P. Levkivskyi and Eugene V. Sukhorukov and Thomas L. Schmidt},
journal= {arXiv preprint arXiv:2201.08147},
year = {2022}
}