Shot noise thermometry of the quantum Hall edge states
Mesoscale and Nanoscale Physics
2013-05-30 v1
Abstract
We use the non-equilibrium bosonization technique to investigate effects of the Coulomb interaction on quantum Hall edge states at filing factor nu=2, partitioned by a quantum point contact (QPC). We find, that due to the integrability of charge dynamics, edge states evolve to a non-equilibrium stationary state with a number of specific features. In particular, the noise temperature of a weak backscattering current between edge channels is linear in voltage bias applied at the QPC, independently of the interaction strength. In addition, it is a non-analytical function of the QPC transparency T and scales as Tln(1/T) at T<< 1. Our predictions are confirmed by exact numerical calculations.
Keywords
Cite
@article{arxiv.1206.4566,
title = {Shot noise thermometry of the quantum Hall edge states},
author = {Ivan P. Levkivskyi and Eugene V. Sukhorukov},
journal= {arXiv preprint arXiv:1206.4566},
year = {2013}
}
Comments
5 pages, 3 figures