Finite frequency noise for Laughlin state investigated by a resonant circuit

TL;DR

This paper investigates the finite frequency noise characteristics of Laughlin state edge modes using a resonant circuit detector, exploring environmental effects on measurements and proposing a method to extract non-universal parameters.

Contribution

It introduces a model for analyzing finite frequency noise in Laughlin states with a resonant detector, accounting for environmental renormalization effects.

Findings

Renormalization of Luttinger exponent affects noise measurements

Proposed method to extract non-universal parameters from noise data

Analyzed weak-backscattering limit in quantum point contact

Abstract

We study the finite frequency (F.F.) noise properties of edge states in the Laughlin state. We investigate the model of a resonant detector coupled to a quantum point contact in the weak-backscattering limit. In particular we discuss the impact of possible renormalization of the Luttinger exponent, due to environmental effects, on the measured quantities and we propose a simple way to extract such non-universal parameters from noise measurements.