# Imaging work and dissipation in the quantum Hall state in graphene

## TL;DR

This study uses nanoscale thermal and scanning gate microscopy to reveal microscopic dissipation mechanisms in the quantum Hall state in graphene, showing how edge reconstruction and atomic defects undermine topological protection.

## Contribution

It provides the first direct visualization of dissipation processes in graphene's quantum Hall state, distinguishing between heat-generating and non-heat-generating mechanisms.

## Key findings

- Dissipation is caused by crosstalk between counterpropagating channels at graphene edges.
- Two distinct dissipation processes are identified: elastic tunneling and inelastic scattering.
- Inelastic scattering at atomic defects causes heat and entropy generation without affecting transport.

## Abstract

Topology is a powerful recent concept asserting that quantum states could be globally protected against local perturbations. Dissipationless topologically protected states are thus of major fundamental interest as well as of practical importance in metrology and quantum information technology. Although topological protection can be robust theoretically, in realistic devices it is often fragile against various dissipative mechanisms, which are difficult to probe directly because of their microscopic origins. By utilizing scanning nanothermometry, we visualize and investigate microscopic mechanisms undermining the apparent topological protection in the quantum Hall state in graphene. Our simultaneous nanoscale thermal and scanning gate microscopy shows that the dissipation is governed by crosstalk between counterpropagating pairs of downstream and upstream channels that appear at graphene boundaries because of edge reconstruction. Instead of local Joule heating, however, the dissipation mechanism comprises two distinct and spatially separated processes. The work generating process that we image directly and which involves elastic tunneling of charge carriers between the quantum channels, determines the transport properties but does not generate local heat. The independently visualized heat and entropy generation process, in contrast, occurs nonlocally upon inelastic resonant scattering off single atomic defects at graphene edges, while not affecting the transport. Our findings offer a crucial insight into the mechanisms concealing the true topological protection and suggest venues for engineering more robust quantum states for device applications.

---
Source: https://tomesphere.com/paper/1907.08973