Dc Electrical Current Generated by Upstream Neutral Modes
Abstract
Quantum Hall phases are gapped in the bulk but support chiral edge modes, both charged and neutral. Here we consider a circuit where the path from the source of electric current to the drain necessarily passes through a segment consisting solely of neutral modes. We find that upon biasing the source, a dc electric current is detected at the drain, provided there is backscattering between counter-propagating modes under the contacts placed in certain locations. Thus, neutral modes carry information that can be used to nonlocally reconstruct a dc charge current. Our protocol can be used to detect any neutral mode that counterpropagates with respect to all charge modes. Our protocol applies not only to the edge modes of a quantum Hall system, but also to systems that have neutral modes of non-quantum Hall origin. We conclude with a possible experimental realization of this phenomenon.
Keywords
Cite
@article{arxiv.2103.06200,
title = {Dc Electrical Current Generated by Upstream Neutral Modes},
author = {Ankur Das and Sumathi Rao and Yuval Gefen and Ganpathy Murthy},
journal= {arXiv preprint arXiv:2103.06200},
year = {2022}
}
Comments
6 main + 4 supplemental pages, 3 main + 3 supplemental figures