Micromagnetic simulations for magnetic multipoles

Abstract

Cluster magnetic multipoles are order parameters that characterize the symmetry of spin arrangements in magnetic materials. In particular, high-order multipoles play a pivotal role in altermagnets and non-collinear antiferromagnets where they govern electrical and optical phenomena. While spatially non-uniform multipole textures have been observed on the micrometer scale, their behavior at mesoscopic lengths remains largely unexplored. Here, we introduce a comprehensive micromagnetic framework for vector-like cluster magnetic multipoles, enabling quantitative, spatially resolved analysis of non-uniform multipole systems. As a demonstration, we apply the framework to magnetic-octupole domain-wall motion in the non-collinear antiferromagnet ${\text{Mn}}_3\text{Sn}$. Our simulations capture key features of domain-wall dynamics, including profile deformation and the emergence of an effective inertial mass. This work provides a unified approach for investigating the mesoscopic dynamics of high-order cluster multipoles, and opens new avenues for understanding and engineering the physical properties of functional magnetic materials, such as altermagnets and non-collinear antiferromagnets, for advanced spintronic technologies.

9 pages, 5 figures

References in corpus (27)

• Antiferromagnetic spintronics
• Antiferromagnetic spintronics
• Anomalous Hall effect arising from noncollinear antiferromagnetism
• Large anomalous Nernst effect at room temperature in a chiral antiferromagnet
• Antiferromagnetic Skyrmion: Stability, Creation and Manipulation
• Large magneto-optical Kerr effect and imaging of magnetic octupole domains in an antiferromagnetic metal
• Altermagnetism: Exploring New Frontiers in Magnetism and Spintronics
• Electrical Manipulation of a Topological Antiferromagnetic State
• Non-collinear Antiferromagnets and the Anomalous Hall Effect
• Cluster multipole theory for anomalous Hall effect in antiferromagnets
• Anomalous transport due to Weyl fermions in the chiral antiferromagnets Mn${}_3$$X$, $X$ = Sn, Ge
• Anomalous Hall effect and topological defects in antiferromagnetic Weyl semimetals: Mn${}_3$Sn/Ge
• Imaging and writing magnetic domains in the non-collinear antiferromagnet Mn${}_{\text{3}}$Sn
• Micromagnetics and spintronics: Models and numerical methods
• The Landau-Lifshitz-Bloch equation for ferrimagnetic materials
• Piezomagnetic switching of anomalous Hall effect in an antiferromagnet at room temperature
• Perspective on Metallic Antiferromagnets
• Chiral domain walls of Mn${}_3$Sn and their memory
• Micromagnetic modeling of Terahertz oscillations in an antiferromagnetic material driven by spin-Hall effect
• Magnetization switching in polycrystalline Mn3Sn thin film induced by self-generated spin-polarized current
• Dynamics of noncollinear antiferromagnetic textures driven by spin current injection
• Time-dependent multistate switching of topological antiferromagnetic order in Mn${}_3$Sn
• Manipulating Anomalous Hall Antiferromagnets with Magnetic Fields
• Theory of electric, magnetic, and toroidal polarizations in crystalline solids with applications to hexagonal lonsdaleite and cubic diamond
• Cluster multipole dynamics in non-collinear antiferromagnets
• Nanoscale magnetic domains in polycrystalline Mn3Sn films imaged by a scanning single-spin magnetometer
• Electrically Tunable Picosecond-scale Octupole Fluctuations in Chiral Antiferromagnets

Cited by in corpus (1)

• Staggered Dzyaloshinskii-Moriya and canting angle in centrosymmetric altermagnetic and ferromagnetic phases: influence on the anomalous Hall effect and Weyl points