# Electrical Detection of Individual Skyrmions in Graphene Devices

## TL;DR

This paper proposes a graphene-based Hall probe device capable of electrically detecting individual skyrmions through the anomalous Hall effect, enabling nanoscale skyrmion detection for spintronics applications.

## Contribution

It introduces a novel graphene nanodevice design that can electrically detect single skyrmions via the anomalous Hall effect, bridging skyrmion detection and graphene electronics.

## Key findings

- Single skyrmions produce detectable Hall voltages within experimental reach.
- Device design is effective in the ballistic regime for realistic exchange interactions.
- Potential for integration into skyrmion-based spintronic devices.

## Abstract

We study a graphene Hall probe located on top of a magnetic surface as a detector of skyrmions, using as working principle the anomalous Hall effect produced by the exchange interaction of the graphene electrons with the non-coplanar magnetization of the skyrmion. We study the magnitude of the effect as a function of the exchange interaction, skyrmion size and device dimensions. Our calculations for multiterminal graphene nanodevices, working in the ballistic regime, indicate that for realistic exchange interactions a single skyrmion would give Hall voltages well within reach of the experimental state of the art. The proposed device could act as an electrical transducer that marks the presence of a single skyrmion in a nanoscale region, paving the way towards the integration of skyrmion-based spintronics and graphene electronics.