Relevance of multiple-quasiparticle tunneling between edge states at \nu =p/(2np+1)

TL;DR

This paper explains anomalous tunneling conductance and noise in fractional quantum Hall edge states by considering neutral mode dynamics and multiple-quasiparticle tunneling, aligning theory with experimental observations.

Contribution

It introduces a model incorporating neutral mode dynamics and multiple-quasiparticle tunneling to explain experimental anomalies in fractional quantum Hall edge transport.

Findings

Activation of neutral modes alters conductance temperature dependence.

Multiple-quasiparticle tunneling dominates at low energies.

The model quantitatively matches experimental noise data.

Abstract

We present an explanation for the anomalous behavior in tunneling conductance and noise through a point contact between edge states in the Jain series $\nu=p/(2np+1)$, for extremely weak-backscattering and low temperatures [Y.C. Chung, M. Heiblum, and V. Umansky, Phys. Rev. Lett. {\bf{91}}, 216804 (2003)]. We consider edge states with neutral modes propagating at finite velocity, and we show that the activation of their dynamics causes the unexpected change in the temperature power-law of the conductance. Even more importantly, we demonstrate that multiple-quasiparticles tunneling at low energies becomes the most relevant process. This result will be used to explain the experimental data on current noise where tunneling particles have a charge that can reach $p$ times the single quasiparticle charge. In this paper we analyze the conductance and the shot noise to substantiate quantitatively the proposed scenario.