Topological spin crystals by itinerant frustration

Abstract

Spin textures with nontrivial topology, such as vortices and skyrmions, have attracted attention as a source of unconventional magnetic, transport, and optical phenomena. Recently, a new generation of topological spin textures has been extensively studied in itinerant magnets; in contrast to the conventional ones induced, e.g., by the Dzyaloshinskii-Moriya interaction in noncentrosymmetric systems, they are characterized by extremely short magnetic periods and stable even in centrosymmetric systems. Here we review such new types of topological spin textures with particular emphasis on their stabilization mechanism. Focusing on the interplay between charge and spin degrees of freedom in itinerant electron systems, we show that itinerant frustration, which is the competition among electron-mediated interactions, plays a central role in stabilizing a variety of topological spin crystals including a skyrmion crystal with unconventional high skyrmion number, meron crystals, and hedgehog crystals. We also show that the essential ingredients in the itinerant frustration are represented by bilinear and biquadratic spin interactions in momentum space. This perspective not only provides a unified understanding of the unconventional topological spin crystals but also stimulates further exploration of exotic topological phenomena in itinerant magnets.

50 pages, 16 figures, 1 table

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Cited by in corpus (24)

• Topological spin crystals by itinerant frustration
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• Rectangular and square skyrmion crystals on a centrosymmetric square lattice with easy-axis anisotropy
• Locking of skyrmion cores on a centrosymmetric discrete lattice: onsite versus offsite
• Spin excitation spectra in helimagnetic states: proper-screw, cycloid, vortex crystal, and hedgehog lattice
• Low-Energy Excitations of Skyrmion Crystals in a Centrosymmetric Kondo-Lattice Magnet: Decoupled Spin-Charge Excitations and Nonreciprocity
• Multifarious skyrmion phases on a trilayer triangular lattice
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Ab initio exploration of short-pitch skyrmion materials: Role of orbital frustration
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets
• CP${}^2$ Skyrmions and Skyrmion Crystals in Realistic Quantum Magnets
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Skyrmion Crystals in the Triangular Kondo Lattice Model
• Triple-$\mathcal{Q}$ partial magnetic orders induced by quadrupolar interactions: Triforce order scenario for UNi${}_4$B
• Magnetic Hedgehog Lattice in a Centrosymmetric Cubic Metal
• Skyrmion Helicity: Quantization and Quantum Tunneling Effects
• Machine learning assisted derivation of effective low energy models for metallic magnets
• Ferrochiral, antiferrochiral, and ferrichiral skyrmion crystals in an itinerant honeycomb magnet
• Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
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• Interplay of itinerant electrons and Ising moments in a hybrid honeycomb quantum magnet TmNi${}_3$Al${}_9$