Topological-chiral magnetic interactions driven by emergent orbital magnetism

Abstract

Two hundred years ago, André-Marie Ampère discovered that electric loops in which currents of electrons are generated by a penetrating magnetic field can interact with each other. Here we show that Ampère's observation can be transferred to the quantum realm of interactions between triangular plaquettes of spins on a lattice, where the electrical currents at the atomic scale are associated with a peculiar type of the orbital motion of electrons in response to the non-coplanarity of neighbouring spins playing the role of a magnetic field. The resulting topological orbital moment underlies the relation of the orbital dynamics with the topology of the spin structure. We demonstrate that the interactions of the topological orbital moments with each other and with the spins of the underlying lattice give rise to a new class of magnetic interactions $-$ topological chiral interactions $-$ which can dominate over the celebrated Dzyaloshinskii-Moriya interaction, thus opening a path for the realization of new classes of chiral magnetic materials with three-dimensional magnetization textures such as magnetic hopfions.

References in corpus (23)

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• Topological Hall effect in the A-phase of MnSi
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• Potential implementation of Reservoir Computing models based on magnetic skyrmions
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• The chiral biquadratic pair interaction
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• Permanent current from non-commutative spin algebra
• First-Principles Evaluation of the Dzyaloshinskii--Moriya Interaction
• Ab initio analysis of magnetic properties of prototype B20 chiral magnet FeGe
• Engineering Chiral and Topological Orbital Magnetism of Domain Walls and Skyrmions
• Complex magnetism of B20-MnGe: from spin-spirals, hedgehogs to monopoles

Cited by in corpus (79)

• Beyond skyrmions: Review and perspectives of alternative magnetic quasiparticles
• Theory of Current-Induced Angular Momentum Transfer Dynamics in Spin-Orbit Coupled Systems
• Higher-order exchange interactions in two-dimensional magnets
• Topological spin crystals by itinerant frustration
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Magnetic hopfions in solids
• Magnetic hedgehog lattices in noncentrosymmetric metals
• Formation mechanism of helical Q structure in Gd-based skyrmion materials
• Phase Shift in Skyrmion Crystals
• Discovery of magnetic single- and triple-Q states in Mn/Re(0001)
• Extension of the standard Heisenberg Hamiltonian to multispin exchange interactions
• Effective spin model in momentum space: Toward a systematic understanding of multiple-$Q$ instability by momentum-resolved anisotropic exchange interactions
• Exchange interactions and magnetic force theorem
• Fermi-surface origin of skyrmion lattices in centrosymmetric rare-earth intermetallics
• Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
• Probing the topology of the quantum analog of a classical skyrmion
• Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect
• Spin dynamics of itinerant electrons: local magnetic moment formation and Berry phase
• Prospecting chiral multi-site interactions in prototypical magnetic systems
• The chiral Hall effect in canted ferromagnets and antiferromagnets
• Locking of skyrmion cores on a centrosymmetric discrete lattice: onsite versus offsite
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• First-principles Dzyaloshinskii-Moriya interaction in a non-collinear framework
• Spin moiré engineering of topological magnetism and emergent electromagnetic fields
• Multifarious skyrmion phases on a trilayer triangular lattice
• Giant topological and planar Hall effect in Cr${}_{1/3}$NbS${}_2$
• Transverse Transport in Two-Dimensional Relativistic Systems with Non-Trivial Spin Textures
• Short period magnetization texture of B20-MnGe explained by thermally fluctuating local moments
• Multiple-scattering approach for multi-spin chiral magnetic interactions: Application to the one- and two-dimensional Rashba electron gas
• Imprinting and driving electronic orbital magnetism using magnons
• Complex Spin Hamiltonian Represented by Artificial Neural Network
• Ab initio exploration of short-pitch skyrmion materials: Role of orbital frustration
• Kagome lattice promotes chiral spin fluctuations
• Light-induced topological magnons in two-dimensional van der Waals magnets
• Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy
• Proper and improper chiral magnetic interactions
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets
• Charge density waves in multiple-$Q$ spin states
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Phase degree of freedom and topology in multiple-$Q$ spin textures
• Nano-scale collinear multi-Q states driven by higher-order interactions
• Evidence of Magnon-Mediated Orbital Magnetism in a Quasi-2D Topological Magnon Insulator
• Signatures of a surface spin-orbital chiral metal
• Magnetic Hedgehog Lattice in a Centrosymmetric Cubic Metal
• Stability of Hopfions in Bulk Magnets with Competing Exchange Interactions
• Fractional Skyrmion molecules in a $\mathbb{C}{P}^{N-1}$ model
• Topological-chiral magnetic interactions in ultrathin films at surfaces
• Role of magnetic exchange interactions in chiral-type Hall effects of epitaxial Mn${}_x$PtSn films
• Toroidal magnetic molecules stripped to their basics
• Coupling of the triple-Q state to the atomic lattice by anisotropic symmetric exchange
• Enhanced Electrical Magnetochiral Effect by Spin-hedgehog Lattice Structural Transition
• Phase transitions associated with magnetic-field induced topological orbital momenta in a non-collinear antiferromagnet
• Exchange constants for local spin Hamiltonians from tight-binding models
• Driving spin chirality by electron dynamics in laser-excited antiferromagnets
• Time-resolved imaging of Œrsted field induced magnetization dynamics in cylindrical magnetic nanowires
• Topological magnetic structures in MnGe: Neutron diffraction and symmetry analysis
• Higher order exchange driven noncoplanar magnetic state and large anomalous Hall effects in electron doped kagome magnet Mn${}_3$Sn
• Linear response theories for interatomic exchange interactions
• Antichiral Ferromagnetism
• Anisotropic spin model and multiple-$Q$ states in cubic systems
• Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
• Micromagnetic description of twisted spin spirals in the B20 chiral magnet FeGe from first principles
• Skyrmion crystal with integer and fractional skyrmion numbers in a nonsymmorphic lattice structure with the screw axis
• Antiferromagnetic order of topological orbital moments in atomic-scale skyrmion lattices
• Theory of collective excitations in the quadruple-$Q$ magnetic hedgehog lattices
• Topologically-driven three-spin chiral exchange interactions treated from first principles
• Orbital antiferroelectricity and higher dimensional magnetoelectric order in the spin-$1/2$ XX chain extended with three-spin interactions
• Observation of magnetic skyrmion lattice in Cr${}_{0.82}$Mn${}_{0.18}$Ge by small-angle neutron scattering
• Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions
• Dynamic Spin-Lattice Coupling and Statistical Interpretation for the Molecular-Like Excitations in Frustrated Pyrochlores
• Higher order spin interactions mediated by the substrate
• Four-Spin Interactions as a Route to Multiple-Q Topological Magnetic Order
• Meron-antimeron crystals in noncentrosymmetric itinerant magnets on a triangular lattice
• Strain-driven domain wall network with chiral junctions in an antiferromagnet
• Entropy-driven phase transition in a non-collinear antiferromagnet due to higher-order exchange interactions
• Interplay of magnetic states and hyperfine fields of iron dimers on MgO(001)
• Generalization of the Landau-Lifshitz-Gilbert equation by multi-body contributions to Gilbert damping for non-collinear magnets
• Orbital torques and orbital pumping in two-dimensional rare-earth dichalcogenides
• Structure and magnetism of MnGe thin films grown with a nonmagnetic CrSi template