# Controlling the topological sector of magnetic solitons in exfoliated Cr$_{1/3}$NbS$_2$ crystals

## TL;DR

This study demonstrates the ability to control and detect topological sector transitions in ultra-thin Cr$_{1/3}$NbS$_2$ crystals through transport measurements, revealing hysteretic resistance jumps linked to magnetic soliton changes.

## Contribution

It provides experimental evidence of controlling topological sectors in magnetic solitons via transport measurements in exfoliated Cr$_{1/3}$NbS$_2$ crystals, a novel approach in topological magnetic systems.

## Key findings

- Sharp resistance jumps indicate topological sector transitions.
- Thinner crystals below 48 nm do not show hysteresis or jumps.
- Transport measurements can detect inter-sector transitions.

## Abstract

We investigate manifestations of topological order in monoaxial helimagnet Cr$_{1/3}$NbS$_2$ by performing transport measurements on ultra-thin crystals. Upon sweeping the magnetic field perpendicularly to the helical axis, crystals thicker than one helix pitch (48 nm) but much thinner than the magnetic domain size ($\sim$1 $\mu$m) are found to exhibit sharp and hysteretic resistance jumps. We show that these phenomena originate from transitions between topological sectors with different number of magnetic solitons. This is confirmed by measurements on crystals thinner than 48 nm --in which the topological sector cannot change-- that do not exhibit any jump or hysteresis. Our results show the ability to deterministically control the topological sector of finite-size Cr$_{1/3}$NbS$_2$ and to detect inter-sector transitions by transport measurements.