Thermally Driven Topology in Chiral Magnets

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 $C{P}^1$ formalism.

12 pages, 4 figures. Revised version with additional references

References in corpus (9)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Skyrmion Hall Effect Revealed by Direct Time-Resolved X-Ray Microscopy
• Observation of the Magnon Hall Effect
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Robust formation of skyrmions and topological Hall effect in epitaxial thin films of MnSi
• Thermally Driven Ratchet Motion of Skyrmion Microcrystal and Topological Magnon Hall Effect
• Skyrmion Lattice in Two-Dimensional Chiral Magnet
• Thermal Hall Effect of Spins in a Paramagnet
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions

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• Multifunctional Two-dimensional van der Waals Janus Magnet Cr-based Dichalcogenide Halides
• Switching intrinsic magnetic skyrmions with controllable magnetic anisotropy in van der Waals multiferroic heterostructures
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• Anomalous Electrical Transport in the Kagome Magnet YbFe${}_6$Ge${}_6$
• Thermally Driven Topology in Frustrated Systems
• Collinear ferromagnetism with reduced moment length in kagome magnet Nd3Ru4Al12
• Large unconventional anomalous Hall effect far above room temperature in epitaxial Fe${}_3$Ga${}_4$ films