Chern insulating state with double- ordering wave vectors at the Brillouin zone boundary
arXiv:2306.15854 · doi:10.1103/PhysRevB.108.094416
Abstract
Magnetic multiple- states consisting of multiple spin density waves are a source of unconventional topological spin textures, such as skyrmion and hedgehog. We theoretically investigate a topologically nontrivial double- state with a net spin scalar chirality on a two-dimensional square lattice. We find that a double- spiral superposition of the ordering wave vectors located at the Brillouin zone boundary gives rise to unconventional noncoplanar spin textures distinct from the skyrmion crystal. We show that such a double- state is stabilized by the interplay among the easy-axis anisotropic interaction, high-harmonic wave-vector interaction, and external magnetic field. Furthermore, the obtained double- state becomes a Chern insulating state with a quantum Hall conductivity when the Fermi level is located in the band gaps. Our present results provide another platform to realize topological magnetic states other than skyrmion crystals by focusing on the symmetry of constituent ordering wave vectors in momentum space.
11 pages, 11 figures
References in corpus (46)
- Spontaneous Skyrmion Ground States in Magnetic Metals
- Scalar spin chirality and quantum Hall effect on a triangular lattice
- Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
- Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
- Antiferromagnetic skyrmion crystals: generation, topological Hall and topological spin Hall effect
- 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
- Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
- Competing orders in FeAs layers
- 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 antiferromagnet
- Noncoplanar multiple- spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
- Zoology of multiple-Q spin textures in a centrosymmetric tetragonal magnet with itinerant electrons
- Unconventional Topological Hall Effect in Skyrmion Crystals Caused by the Topology of the Lattice
- Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities
- Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets
- Novel magnetic orderings in the kagome Kondo-lattice model
- Degeneracy Lifting of Néel, Bloch, and Anti-Skyrmion Crystals in Centrosymmetric Tetragonal Systems
- Effective spin model in momentum space: Toward a systematic understanding of multiple- instability by momentum-resolved anisotropic exchange interactions
- The Double- Ground State with Topological Charge Stripes in the Skyrmion Candidate
- 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
- Spin order and fluctuations in the EuAl and EuGa topological antiferromagnets: A SR study
- Helicity locking of square skyrmion crystal in a centrosymmetric lattice system without vertical mirror symmetry
- Rectangular and square skyrmion crystals on a centrosymmetric square lattice with easy-axis anisotropy
- Rhombic skyrmion lattice coupled with orthorhombic structural distortion in EuAl
- Quantum oscillations in a centrosymmetric skyrmion-hosting magnet GdRu2Si2
- Skyrmion crystal in the RKKY system on the two-dimensional triangular lattice
- Spontaneous quantum Hall effect via thermally induced quadratic Fermi point
- Mechanism of antisymmetric spin polarization in centrosymmetric multiple- magnets based on bilinear and biquadratic spin cross products
- Thermodynamic insights into the intricate magnetic phase diagram of EuAl
- Transverse Transport in Two-Dimensional Relativistic Systems with Non-Trivial Spin Textures
- Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
- Chiral spin density wave order on frustrated honeycomb and bilayer triangle lattice Hubbard model at half-filling
- Ab initio exploration of short-pitch skyrmion materials: Role of orbital frustration
- Dynamical Switching of Magnetic Topology in Microwave-Driven Itinerant Magnet
- Topological semimetal-to-insulator phase transition between noncollinear and noncoplanar multiple-Q states on a square-to-triangular lattice
- Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
- Ferroaxial moment induced by vortex spin texture
- Skyrmion and vortex crystals in the Hubbard model
- Ferrochiral, antiferrochiral, and ferrichiral skyrmion crystals in an itinerant honeycomb magnet
- Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
- Magnetic bubble crystal in tetragonal magnets
- Theory of magnetic vortex crystals induced by electric dipole interactions
Cited by in corpus (4)
- Unified description of electronic orderings and cross correlations by complete multipole representation
- Stabilization mechanisms of magnetic skyrmion crystal and multiple- states based on momentum-resolved spin interactions
- Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder
- A -algebraic view on the interaction of real- and reciprocal space topology in skyrmion crystals