Photoassisted shot noise spectroscopy at fractional filling factor

TL;DR

This paper investigates photoassisted shot noise in the fractional quantum Hall regime, demonstrating how to reconstruct absorption and emission probabilities using voltage variations, leveraging the power-law behavior of tunneling rates.

Contribution

It introduces a method to reconstruct photoassisted probabilities in fractional quantum Hall systems by exploiting the power-law tunneling behavior, simplifying complex sums.

Findings

Reconstruction of photoassisted absorption and emission probabilities.

Utilization of power-law tunneling rates for simplified analysis.

Application to fractional quantum Hall regime with quantum point contact.

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.