Mechanism of antisymmetric spin polarization in centrosymmetric multiple-$Q$ magnets based on bilinear and biquadratic spin cross products

Abstract

We investigate how to engineer an antisymmetric spin-split band structure under spin density waves with finite ordering wave vectors in centrosymmetric systems without the relativistic spin-orbit coupling. On the basis of a perturbative analysis for the spin-charge coupled model in centrosymmetric itinerant magnets, we show that nonzero chiral-type bilinear and biquadratic spin cross products in momentum space under the magnetic orderings are related to an antisymmetric spin polarization in the electronic band structure. We apply the derived formula to the single-$Q$ cycloidal spiral and double-$Q$ noncoplanar states including the meron-antimeron and skyrmion crystals. Our results present a clue to realize a giant antisymmetric spin splitting driven by magnetic phase transitions in the centrosymmetric lattice structures without the spin-orbit coupling.

arXiv comment10 pages, 4 figures

References in corpus (87)

• Spin current and magneto-electric effect in non-collinear magnets
• Universal Intrinsic Spin-Hall Effect
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• Dissipationless Quantum Spin Current at Room Temperature
• Observation of giant bandgap renormalization and excitonic effects in a monolayer transition metal dichalcogenide semiconductor
• Ferroelectricity in spiral magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
• Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
• Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
• Momentum-Dependent Spin Splitting by Collinear Antiferromagnetic Ordering
• Multiferroicity due to charge ordering
• Skyrmion phase and competing magnetic orders on a breathing kagome lattice
• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• Spin Hall Insulator
• Bottom-up design of spin-split and reshaped electronic band structures in spin-orbit-coupling free antiferromagnets: Procedure on the basis of augmented multipoles
• Spin-orbit coupling, quantum dots, and qubits in monolayer transition metal dichalcogenides
• Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions
• Prediction of low-Z collinear and noncollinear antiferromagnetic compounds having momentum-dependent spin splitting even without spin-orbit coupling
• Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
• Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors
• Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
• Electrical detection of magnetic skyrmions by non-collinear magnetoresistance
• Origin of giant bulk Rashba splitting: Application to BiTeI
• Spontaneous skyrmionic lattice from anisotropic symmetric exchange in a Ni-halide monolayer
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Spin susceptibility in superconductors without inversion symmetry
• Electronic Orbital Currents and Polarization in Mott Insulators
• 2D superconductivity with strong spin-orbit interaction
• Bubble and Skyrmion Crystals in Frustrated Magnets with Easy-Axis Anisotropy
• Maximal Rashba-like spin splitting via kinetic energy-driven inversion symmetry breaking
• Versatile helimagnetic phases under magnetic fields in cubic perovskite SrFeO3
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Symmetry and Quantum Kinetics of the Non-linear Hall Effect
• Orbital Edelstein effect as a condensed-matter analog of solenoid
• Group-theoretical classification of multipole order: emergent responses and candidate materials
• Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
• Odd-parity superconductivity in the vicinity of inversion symmetry breaking in spin-orbit-coupled systems
• Spontaneous Antisymmetric Spin Splitting in Noncollinear Antiferromagnets without Spin-Orbit Coupling
• Magnetoelectric effects in heavy-fermion superconductors without inversion symmetry
• Skyrmion Crystal from RKKY Interaction Mediated by 2D Electron Gas
• Imaging the coupling between itinerant electrons and localised moments in the centrosymmetric skyrmion magnet GdRu2Si2
• Square skyrmion crystal in centrosymmetric itinerant magnets
• Multipole classification in 122 magnetic point groups for unified understanding of multiferroic responses and transport phenomena
• Vortex Crystals with Chiral Stripes in Itinerant Magnets
• Emergent topological spin structures in a centrosymmetric cubic perovskite
• Odd-parity superconductors with two-component order parameters: nematic and chiral, full gap and Majorana node
• Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
• Towards a Microscopic Model of Magnetoelectric Interactions in Ni3V2O8
• Thermodynamically stable skyrmion lattice in tetragonal frustrated antiferromagnet with dipolar interaction
• Néel- and Bloch-Type Magnetic Vortices in Rashba Metals
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Anomalous Hall resistivity and possible topological Hall effect in the EuAl${}_4$ antiferromagnet
• Magnetic hedgehog lattices in noncentrosymmetric metals
• Effect of magnetic anisotropy on Skyrmions with a high topological number in itinerant magnets
• Electric Toroidal Quadrupoles in Spin-Orbit Coupled Metal Cd${}_2$Re${}_2$O${}_7$
• Dirac, Rashba and Weyl type spin-orbit couplings: toward experimental realization in ultracold atoms
• Field-Direction Sensitive Skyrmion Crystals in Cubic Chiral Systems: Implication to $4f$-Electron Compound EuPtSi
• Quantum skyrmions in frustrated ferromagnets
• Anomalous electrical magnetochiral effect by chiral spin fluctuation
• Degeneracy Lifting of Néel, Bloch, and Anti-Skyrmion Crystals in Centrosymmetric Tetragonal Systems
• Emergent spin-valley-orbital physics by spontaneous parity breaking
• The chiral biquadratic pair interaction
• Charge-Density-Wave Order and Multiple Magnetic Transitions in Divalent Europium Compound EuAl${}_4$
• Topological Hall Effect and Emergent Skyrmion Crystal in Manganite-Iridate Oxide Interfaces
• Extension of the standard Heisenberg Hamiltonian to multispin exchange interactions
• Impact of the skyrmion spin texture on magnetoresistance
• Emergent Nodal Excitations due to the Coexistence of Superconductivity and Antiferromagnetism: Cases with and without Inversion Symmetry
• Magnetic structure of monatomic Fe chains on Re(0001): emergence of chiral multi-spin interactions
• Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
• Prospecting chiral multi-site interactions in prototypical magnetic systems
• Quantum Skyrmions in Two-Dimensional Chiral Magnets
• 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
• First-principles Dzyaloshinskii-Moriya interaction in a non-collinear framework
• Complex magnetic phases enriched by charge density waves in topological semimetals GdSb_xTe_{2-x-δ}
• Multiple-scattering approach for multi-spin chiral magnetic interactions: Application to the one- and two-dimensional Rashba electron gas
• Giant magnetoresistance and topological Hall effect in the EuGa4 antiferromagnet
• Rashba-Zener mechanism for nanoscale skyrmions and topological metals
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets
• Proper and improper chiral magnetic interactions
• Charge density waves in multiple-$Q$ spin states
• Orbital Edelstein effect from density-wave order
• First-Order Phase Transition with Breaking of Lattice Rotation Symmetry in Continuous-Spin Model on Triangular Lattice
• Supercurrent-induced Skyrmion dynamics and Tunable Weyl points in Chiral Magnet with Superconductivity
• Strong antisymmetric spin-orbit coupling and superconducting properties: The case of noncentrosymmetric LaPtSi

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