${\mathbb{Z}}_2$ Vortex Crystals in Tetrahedral Antiferromagnets: Fractional Charges and Topological Magnons

Abstract

We report the formation of a ${\mathbb{Z}}_2$ vortex crystal in the tetrahedral antiferromagnetic order on a triangular lattice. The noncoplanar tetrahedral state consists of four sublattices with spins oriented along the faces of a tetrahedron in spin space. The long-range order characterized by a ${\mathbb{Z}}_2$ topology arises due to the Dzyaloshinskii-Moriya interaction and appears at zero temperature and without external fields. Each vortex carries a half-integer electric charge relative to the uniform background in itinerant magnets, enabling the emergence of anyonic excitations. Its magnetic excitations include magnetically active gyrotropic and breathing modes, which -- under an external magnetic field -- carry nontrivial Chern numbers that stabilize chiral magnon edge states.

arXiv comment7+12 pages

References in corpus (48)

• Skyrmion Lattice in a Chiral Magnet
• Spontaneous Skyrmion Ground States in Magnetic Metals
• Topological Hall effect in the A-phase of MnSi
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Spin Transfer Torques in MnSi at Ultra-low Current Densities
• Emergent electrodynamics of skyrmions in a chiral magnet
• Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• 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
• Topological chiral magnonic edge mode in a magnonic crystal
• Microscopic approach to current-driven domain wall dynamics
• Spin-Wave Modes and Their Intense Excitation Effects in Skyrmion Crystals
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Observation of magnetic excitations of skyrmion crystal in a helimagnetic insulator
• Control and Local Measurement of the Spin Chemical Potential in a Magnetic Insulator
• Magnon-skyrmion scattering in chiral magnets
• Collective spin excitations of helices and magnetic skyrmions: review and perspectives of magnonics in non-centrosymmetric magnets
• Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
• 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
• Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
• Giant Skyrmions Stabilized by Dipole-Dipole Interactions in Thin Ferromagnetic Films
• Topological spin waves in the atomic-scale magnetic skyrmion crystal
• Possible chiral phase transition in two-dimensional solid ${}^3$He
• Three-sublattice Skyrmion crystal in the antiferromagnetic triangular lattice
• Magnetic texture-induced thermal Hall effects
• Spontaneous topological Hall effect induced by non-coplanar antiferromagnetic order in intercalated van der Waals materials
• Stability of spontaneous quantum Hall state in the Triangular Kondo-lattice model
• Z_2-vortex lattice in the ground state of the triangular Kitaev-Heisenberg model
• Efficient Langevin Simulation of Coupled Classical Fields and Fermions
• Berry phase of magnons in textured ferromagnets
• Chiral Magnonic Edge States in Ferromagnetic Skyrmion Crystals Controlled by Magnetic Fields
• Tetrahedral triple-Q magnetic ordering and large spontaneous Hall conductivity in the metallic triangular antiferromagnet Co1/3TaS2
• Discovery of magnetic single- and triple-Q states in Mn/Re(0001)
• Magnonic Quadrupole Topological Insulator in Antiskyrmion Crystals
• Quantum Damping of Skyrmion Crystal Eigenmodes due to Spontaneous Quasiparticle Decay
• A non-abelian spin-liquid in a spin-1 quantum magnet
• Laser-controlled real- and reciprocal-space topology in multiferroic insulators
• From skyrmions to Z2 vortices in distorted chiral antiferromagnets
• Magnetoelectric Cavity Magnonics in Skyrmion Crystals
• Anyons in integer quantum Hall magnets
• Normal Modes of a Spin Cycloid or Helix
• Coupling of the triple-Q state to the atomic lattice by anisotropic symmetric exchange
• Effect of Quantum Spin Fluctuation on Scalar Chiral Ordering in the Kondo Lattice Model on a Triangular Lattice
• Observation of topological $Z_2$ vortex fluctuations in the frustrated Heisenberg magnet NaCrO${}_2$
• Anomalous valley Hall effect in monolayer chromium-based triple-Q magnets
• Dzyaloshinskii-Moriya Induced Spin-Transfer Torques in Kagome Antiferromagnets