Scaling dimension of quantum Hall quasiparticles from tunneling current noise measurements

TL;DR

This paper introduces a model-independent method to determine the scaling dimension of fractional quantum Hall quasiparticles using tunneling current noise measurements, improving accuracy over traditional current-only methods.

Contribution

The paper presents a novel, less error-prone approach for extracting quasiparticle scaling dimensions from tunneling noise data in FQHE systems.

Findings

Method successfully determines scaling dimensions from noise measurements.

Reduces errors caused by non-universal tunnel junction physics.

Applicable to experimental FQHE quasiparticle studies.

Abstract

Determination of properties of quasiparticle excitations is an important task in the experimental investigation of the fractional quantum Hall effect (FQHE). We propose a model-independent method for finding the scaling dimension of FQHE quasiparticles from measurements of the electric current tunneling between two FQHE edges and its noise. In comparison to the commonly used method based on measuring the tunneling current only, the proposed method is less prone to the errors due to non-universal physics of tunnel junctions.