We study nonequilibrium edge state transport in the fractional quantum Hall regime for states with one or several counter-propagating neutral modes. We consider a setup in which the neutral modes are heated by a hot spot, and where heat transported by the neutral modes causes a temperature difference between the upper and lower edges in a Hall bar. This temperature difference is probed by the excess noise it causes for scattering across a quantum point contact. We find that the excess noise in the quantum point contact provides evidence for counter-propagating neutral modes, and we calculate its dependence on both the temperature difference between the edges and on source drain bias.
@article{arxiv.1012.0315,
title = {Neutral mode heat transport and fractional quantum Hall shot noise},
author = {So Takei and Bernd Rosenow},
journal= {arXiv preprint arXiv:1012.0315},
year = {2015}
}