Magnetic Hedgehog Lattice in a Centrosymmetric Cubic Metal
arXiv:2206.03042 · doi:10.7566/JPSJ.91.093702
Abstract
The hedgehog lattice (HL) is a three-dimensional topological spin texture hosting a periodic array of magnetic monopoles and antimonopoles. It has been studied theoretically for noncentrosymmetric systems with the Dzyaloshinskii-Moriya interaction, but the stability, as well as the magnetic and topological properties, remains elusive in the centrosymmetric case. We here investigate the ground state of an effective spin model with long-range bilinear and biquadratic interactions for a centrosymmetric cubic metal by simulated annealing. We show that our model stabilizes a HL composed of two pairs of left- and right-handed helices, resulting in no net scalar spin chirality, in stark contrast to the noncentrosymmetric case. We find that the HL turns into topologically-trivial conical states in an applied magnetic field. From the detailed analyses of the constituent spin helices, we clarify that the ellipticity and angles of the helical planes change gradually while increasing the magnetic field. We discuss the results in comparison with the experiments for a centrosymmetric cubic metal SrFeO.
arXiv comment6 pages, 4 figures
References in corpus (39)
- Berry Phase Effects on Electronic Properties
- Skyrmion Lattice in a Chiral Magnet
- Anomalous Hall effect
- Spontaneous Skyrmion Ground States in Magnetic Metals
- 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
- Skyrmion phase and competing magnetic orders on a breathing kagome lattice
- 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
- Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
- Theory of the helical spin crystal: a candidate for the partially ordered state of MnSi
- Fractional antiferromagnetic skyrmion lattice induced by anisotropic couplings
- Hidden Multiple-spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models
- Versatile helimagnetic phases under magnetic fields in cubic perovskite SrFeO3
- Topological-chiral magnetic interactions driven by emergent orbital magnetism
- Theory of helical spin crystals: phases, textures and properties
- Topological spin crystals by itinerant frustration
- Vortex Crystals with Chiral Stripes in Itinerant Magnets
- Emergent topological spin structures in a centrosymmetric cubic perovskite
- Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
- Helicoidal ordering in iron perovskites
- Chirality induced anomalous-Hall effect in helical spin crystals
- Neutron diffraction study of spin and charge ordering in SrFeO(3-delta)
- Zoology of multiple-Q spin textures in a centrosymmetric tetragonal magnet with itinerant electrons
- Magnetic hedgehog lattices in noncentrosymmetric metals
- Zero-temperature phases for chiral magnets in three dimensions
- Cubic and non-cubic multiple-q states in the Heisenberg antiferromagnet on the pyrochlore lattice
- Incommensurate spiral order from double exchange interactions
- Spin excitation spectra in helimagnetic states: proper-screw, cycloid, vortex crystal, and hedgehog lattice
- Spin moiré engineering of topological magnetism and emergent electromagnetic fields
- Electric transport in three-dimensional Skyrmion/monopole crystal
- Formation of a Topological Monopole Lattice and its Dynamics in Three-dimensional Chiral Magnets
- Phase transitions between helices, vortices, and hedgehogs driven by spatial anisotropy in chiral magnets
- Magnetic field-temperature phase diagrams for multiple- magnetic orderings: Exact steepest descent approach to long-range interacting spin systems
- Double- Chiral Stripe in the - Model with Strong Spin-Charge Coupling
- Phase degree of freedom and topology in multiple- spin textures
- Tracing Monopoles and Anti-monopoles in a Magnetic Hedgehog Lattice
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- Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
- Ferrochiral, antiferrochiral, and ferrichiral skyrmion crystals in an itinerant honeycomb magnet
- Unconventional Surface State Pairs in a High-Symmetry Lattice with Anti-ferromagnetic Band-folding
- Hidden Topological Transitions in Emergent Magnetic Monopole Lattices