Photoassisted shot noise spectroscopy at fractional filling factor

Luca Vannucci,Dario Ferraro,Flavio Ronetti,Jérôme Rech,Thibaut Jonckheere,Maura Sassetti,Thierry Martin

doi:10.1088/1742-6596/969/1/012143

Abstract

We study the photoassisted shot noise generated by a periodic voltage in the fractional quantum Hall regime. Fluctuations of the current are due to the presence of a quantum point contact operating in the weak backscattering regime. We show how to reconstruct the photoassisted absorption and emission probabilities by varying independently the dc and ac contributions to the voltage drive. This is made possible by the peculiar power-law behavior of the tunneling rates in the chiral Luttinger liquid theory, which allow to approximate the typical infinite sums of the photoassisted transport formalism in a simple and particularly convenient way.

Highlights

With the ultimate goal of controlling coherent few-particle excitations in quantum conductors, the condensed matter community has been paying an ever increasing attention to ac transport in mesoscopic devices over the last twenty years
In this paper we investigate the photoassisted shot noise (PASN) in the fractional quantum Hall (FQH) regime
We evaluate the shot-noise at the first relevant order in the tunneling, considering the quantum point contact (QPC) in a weak backscattering regime

Summary

Introduction

With the ultimate goal of controlling coherent few-particle excitations in quantum conductors, the condensed matter community has been paying an ever increasing attention to ac transport in mesoscopic devices over the last twenty years. The presence of dissipationless topological edge modes makes the FQH phase a good candidate to study photoassisted quantum transport in interacting systems [13, 14, 15, 16]. We consider a FQH system where periodic voltage pulses are injected from one of the terminals in presence of a quantum point contact (QPC). In this geometry, excitations incoming from the leads are partitioned at the QPC, in a protocol that is reminiscent of the Hanbury-Brown and Twiss optical experiment [10]. S=0 for the Lorentzian drive [21, 22]

Backscattering current and noise

Results

Conclusions