# Auger-spectroscopy in quantum Hall edge channels: a possible resolution to the missing energy problem

## TL;DR

This paper investigates energy redistribution in quantum Hall edge channels using quantum dots, revealing that non-local Auger-like processes explain the missing energy problem and challenge previous local-only models.

## Contribution

It introduces the role of non-local Auger-like processes in energy redistribution, providing a new explanation for the missing energy in quantum Hall edge channels.

## Key findings

- Non-local Auger processes account for energy redistribution.
- Experimental data supports the theoretical model including non-local decay channels.
- Challenges the traditional local-only inelastic scattering models.

## Abstract

Quantum Hall edge channels offer an efficient and controllable platform to study quantum transport in one dimension. Such channels are a prospective tool for the efficient transfer of quantum information at the nanoscale, and play a vital role in exposing intriguing physics. Electric current along the edge carries energy and heat leading to inelastic scattering, which may impede coherent transport. Several experiments attempting to probe the concomitant energy redistribution along the edge reported energy loss via unknown mechanisms of inelastic scattering. Here we employ quantum dots to inject and extract electrons at specific energies, to spectrally analyse inelastic scattering inside quantum Hall edge channels. We show that the "missing energy" puzzle can be untangled by incorporating non-local Auger-like processes, in which energy is redistributed between spatially separate parts of the sample. Our theoretical analysis, accounting for the experimental results, challenges common-wisdom analyses which ignore such non-local decay channels.