Spin moiré engineering of topological magnetism and emergent electromagnetic fields

Abstract

A superposition of spin helices can yield topological spin textures, such as skyrmion and hedgehog lattices. Based on the analogy with the moiré in optics, we study the magnetic and topological properties of such superpositions in a comprehensive way by modulating the interference pattern continuously. We find that the control of the angles between the superposed helices and the net magnetization yields successive topological transitions associated with pair annihilation of hedgehogs and antihedgehogs. Accordingly, emergent electromagnetic fields, magnetic monopoles and antimonopoles, and Dirac strings arising from the noncoplanar spin textures show systematic evolution. In addition, we also show how the system undergoes the magnetic transitions with dimensional reduction from the three-dimensional hedgehog lattice to a two-dimensional skyrmion lattice or a one-dimensional conical state. The results indicate that the concept of "spin moiré" provides an efficient way of engineering the emergent electromagnetism and topological nature in magnets.

References in corpus (4)

• Flat Bands in Slightly Twisted Bilayer Graphene
• Theory of the helical spin crystal: a candidate for the partially ordered state of MnSi
• Theory of helical spin crystals: phases, textures and properties
• Phase transitions between helices, vortices, and hedgehogs driven by spatial anisotropy in chiral magnets

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