Shot Noise Signatures of Charge Fractionalization in the $\nu=2$ Quantum Hall edge

TL;DR

This paper studies how interactions in the $ u=2$ quantum Hall edge affect shot noise, revealing charge fractionalization signatures through the Fano factor and distribution functions using non-equilibrium bosonization.

Contribution

It demonstrates that the edge distribution function's dependence on interaction strength influences shot noise and Fano factor, highlighting fractionalization effects in quantum Hall edges.

Findings

Fano factor can approximate fractionalized charge values

Edge distribution function is sensitive to interaction strength

Charge fractionalization signatures are observable in shot noise

Abstract

We investigate the effect of interactions on shot noise in $\nu=2$ quantum Hall edges, where a repulsive coupling between co-propagating edge modes is expected to give rise to charge fractionalization. Using the method of non-equilibrium bosonization, we find that even asymptotically the edge distribution function depends in a sensitive way on the interaction strength between the edge modes. We compute shot noise and Fano factor from the asymptotic distribution function, and from comparison with a reference model of fractionalized excitations we find that the Fano factor can be close to the value of the fractionalized charge.