# Thermally Driven Topology in Chiral Magnets

## TL;DR

This paper investigates how thermal fluctuations influence the topological properties of chiral magnets, revealing an unexpected increase in topological charge at high fields and temperatures through Monte Carlo simulations and theoretical analysis.

## Contribution

It introduces a Monte Carlo approach to study thermal effects on topology in chiral magnets and explains the observed phenomena using a $CP^{1}$ field-theoretic framework.

## Key findings

- Topological charge increases unexpectedly at high fields and temperatures.
- Thermal fluctuations at atomic scale significantly affect magnetic topology.
- A physical model based on lattice triangulation explains the topological upturn.

## Abstract

Chiral magnets give rise to the anti-symmetric Dzyaloshinskii-Moriya (DM) interaction, which induces topological nontrivial textures such as magnetic skyrmions. The topology is characterized by integer values of the topological charge. In this work, we performed the Monte-Carlo calculation of a two-dimensional model of the chiral magnet. A surprising upturn of the topological charge is identified at high fields and high temperatures. This upturn is closely related to thermal fluctuations at the atomic scale, and is explained by a simple physical picture based on triangulation of the lattice. This emergent topology is also explained by a field-theoretic analysis using $CP^{1}$ formalism.