The relaxation time of a chiral quantum R-L circuit
Abstract
We report on the GHz complex admittance of a chiral one dimensional ballistic conductor formed by edge states in the quantum Hall regime. The circuit consists of a wide Hall bar (the inductor L) in series with a tunable resistor (R) formed by a quantum point contact. Electron interactions between edges are screened by a pair of side gates. Conductance steps are observed on both real and imaginary parts of the admittance. Remarkably, the phase of the admittance is transmission-independent. This shows that the relaxation time of a chiral R-L circuit is resistance independent. A current and charge conserving scattering theory is presented that accounts for this observation with a relaxation time given by the electronic transit time in the c cuit.
Cite
@article{arxiv.cond-mat/0701654,
title = {The relaxation time of a chiral quantum R-L circuit},
author = {Julien Gabelli and Gwendal Fève and Takis Kontos and Jean-Marc Berroir and Bernard Plaçais and Christian Glattli and Bernard Etienne and Yong Jin and Markus Büttiker},
journal= {arXiv preprint arXiv:cond-mat/0701654},
year = {2007}
}