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.

10 pages, 4 figures

References in corpus (33)

• Spin current and magneto-electric effect in non-collinear magnets
• Dissipationless Quantum Spin Current at Room Temperature
• Observation of giant bandgap renormalization and excitonic effects in a monolayer transition metal dichalcogenide semiconductor
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Electronic Orbital Currents and Polarization in Mott Insulators
• Maximal Rashba-like spin splitting via kinetic energy-driven inversion symmetry breaking
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
• 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
• Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
• Thermodynamically stable skyrmion lattice in tetragonal frustrated antiferromagnet with dipolar interaction
• Anomalous Hall resistivity and possible topological Hall effect in the EuAl${}_4$ antiferromagnet
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Field-Direction Sensitive Skyrmion Crystals in Cubic Chiral Systems: Implication to $4f$-Electron Compound EuPtSi
• Degeneracy Lifting of Néel, Bloch, and Anti-Skyrmion Crystals in Centrosymmetric Tetragonal Systems
• Emergent spin-valley-orbital physics by spontaneous parity breaking
• Charge-Density-Wave Order and Multiple Magnetic Transitions in Divalent Europium Compound EuAl${}_4$
• 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
• 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
• Complex magnetic phases enriched by charge density waves in topological semimetals GdSb_xTe_{2-x-δ}
• Giant magnetoresistance and topological Hall effect in the EuGa4 antiferromagnet
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets
• Charge density waves in multiple-$Q$ spin states
• Supercurrent-induced Skyrmion dynamics and Tunable Weyl points in Chiral Magnet with Superconductivity

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