Minimal excitations in the fractional quantum Hall regime

TL;DR

This paper investigates minimal excitations in fractional quantum Hall edges, demonstrating their charge quantization and experimental detectability, which advances understanding of quasiparticle transport in interacting topological systems.

Contribution

It extends the concept of levitons to interacting fractional quantum Hall systems and shows how minimal excitations can be generated and detected experimentally.

Findings

Minimal excitations carry integer charge involving Laughlin quasiparticles.

They produce a Poissonian noise signature in Hanbury-Brown and Twiss measurements.

The study provides a pathway to real-time transport studies of Abelian and non-Abelian excitations.

Abstract

We study the minimal excitations of fractional quantum Hall edges, extending the notion of levitons to interacting systems. Using both perturbative and exact calculations, we show that they arise in response to a Lorentzian potential with quantized flux. They carry an integer charge, thus involving several Laughlin quasiparticles, and leave a Poissonian signature in a Hanbury-Brown and Twiss partition noise measurement at low transparency. This makes them readily accessible experimentally, ultimately offering the opportunity to study real-time transport of Abelian and non-Abelian excitations.