Antiferromagnetic skyrmion crystals: generation, topological Hall and topological spin Hall effect

Abstract

Skyrmions are topologically nontrivial, magnetic quasi-particles, that are characterized by a topological charge. A regular array of skyrmions - a skyrmion crystal (SkX) - features the topological Hall effect (THE) of electrons, that, in turn, gives rise to the Hall effect of the skyrmions themselves. It is commonly believed that antiferromagnetic skyrmion crystals (AFM-SkXs) lack both effects. In this Rapid Communication, we present a generally applicable method to create stable AFM-SkXs by growing a two sublattice SkX onto a collinear antiferromagnet. As an example we show that both types of skyrmion crystals - conventional and antiferromagnetic - exist in honeycomb lattices. While AFM-SkXs with equivalent lattice sites do not show a THE, they exhibit a topological spin Hall effect. On top of this, AFM-SkXs on inequivalent sublattices exhibit a nonzero THE, which may be utilized in spintronics devices. Our theoretical findings call for experimental realization.

5 pages, 5 figures

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Cited by in corpus (54)

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• Forming individual magnetic biskyrmions by merging two skyrmions in a centrosymmetric nanodisk
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• Spin eigen-excitations of an antiferromagnetic skyrmion
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Complex magnetic phases enriched by charge density waves in topological semimetals GdSb_xTe_{2-x-δ}
• 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
• Modelling spin waves in noncollinear antiferromagnets: spin-flop states, spin spirals, skyrmions and antiskyrmions
• Emergent SU(3) magnons and thermal Hall effect in the antiferromagnetic skyrmion lattice
• Skyrmion Based Magnonic Crystals
• Spirals and skyrmions in antiferromagnetic triangular lattices
• Emergence of zero-field non-synthetic single and interchanged antiferromagnetic skyrmions in thin films
• Skyrmion fluid and bimeron glass protected by a chiral spin liquid on a kagome lattice
• Dynamical Switching of Magnetic Topology in Microwave-Driven Itinerant Magnet
• Nonzero Skyrmion Hall Effect in Topologically Trivial Structures
• Tunable Strong Magnetic Anisotropy in Two-Dimensional van der Waals Antiferromagnets
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Fundamental Theory of Current-Induced Motion of Magnetic Skyrmions
• Engineering antiferromagnetic skyrmions and antiskyrmions at metallic interfaces
• Skyrmion Crystal and Phase Transition in Magneto-Ferroelectric Superlattices: Dzyaloshinskii-Moriya Interaction in a Frustrated $J_1-J_2$ Model
• Magnetic Ordering in GdAuAl${}_4$Ge${}_2$ and TbAuAl${}_4$Ge${}_2$: layered compounds with triangular lanthanide nets
• Topological orbital Hall effect caused by skyrmions and antiferromagnetic skyrmions
• Electron transport through antiferromagnetic spin textures and skyrmions in a magnetic tunnel junction
• Ultrafast optical generation of antiferromagnetic meron-antimeron pairs with conservation of topological charge
• Ferrochiral, antiferrochiral, and ferrichiral skyrmion crystals in an itinerant honeycomb magnet
• A spin model for intrinsic antiferromagnetic skyrmions on a triangular lattice
• Antiferro skyrmion crystal phases in a synthetic bilayer antiferromagnet under an in-plane magnetic field
• A proposal for skyrmion-based diode-like device in antiferromagnetic nanostripe
• Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary
• Klein tunneling of the electronic states in the gate voltage modulated skyrmion crystal
• Tuning the antiferromagnetic helical pitch length and nanoscale domain size in Fe${}_3$PO${}_4$O${}_3$ by magnetic dilution
• Topological charge and spin Hall effects due to skyrmions in canted antiferromagnets
• Topological spin Hall effect in antiferromagnets driven by vector Néel chirality
• Topological Aspects of Antiferromagnets
• Three-dimensional topological orbital Hall effect caused by magnetic hopfions
• Thermal Hall effect and gauge-field picture of magnons in antiferromagnetic skyrmion crystals
• Three-sublattice antiferro-type and ferri-type skyrmion crystals in centrosymmetric magnets
• Theory of magnetic vortex crystals induced by electric dipole interactions
• Local setting of spin textures in a granular antiferromagnet
• Skyrmion-skyrmion interaction induced by itinerant electrons in a ferromagnetic strip
• Electron states, bound to a texture in a Néel antiferromagnet
• Skyrmion-deriven topological spin and charge Hall effects in diffusive antiferromagnetic thin films
• Charge ordering and spontaneous topological Hall effect in bilayer skyrmion crystals
• Topological Hall Effect in Antiferromagnetic Co doped Fe${}_3$GaTe${}_2$
• 3D Analytical Model of Skyrmions and Skyrmion-like Structures in a Two-sublattice Antiferromagnet with Dzyaloshinskii-Moriya Interaction