Fractional Charge Determination via Quantum Shot Noise Measurements

TL;DR

This paper discusses how quantum shot noise measurements can be used to determine fractional charges of quasiparticles in the fractional quantum Hall regime, revealing insights into their interactions and universal behaviors.

Contribution

It introduces a method to extract quasiparticle charge from shot noise data, accounting for effects of temperature, energy, and interactions in fractional quantum Hall states.

Findings

Quasiparticle charge can be accurately determined from shot noise measurements.

The charge exhibits universal behavior in certain fractional quantum Hall states.

Interactions influence the shot noise and the effective quasiparticle charge.

Abstract

Charge excitations in a two dimensional electron gas, under a quantizing magnetic field and in the fractional quantum Hall effect regime, flow in one dimensional-like strips along the edges of the sample. These excitations (quasiparticles) may be independent or condense into an interacting chiral Luttinger liquid. Adding a backscattering potential, which reflects a forward propagating quasiparticle to a backward propagating one, partitions the stream of quasiparticles and induces quantum shot noise. The noise is proportional to quasiparticles charge and may be affected by their mutual interactions. The dependence of the determined charge on the temperature, excitation energy, and partitioning will be describes for a few fractional states, revealing in some cases a universal behavior.