Meron-antimeron crystals in noncentrosymmetric itinerant magnets on a triangular lattice

Abstract

Multiple-$Q$ magnetic states often induce nontrivial topological spin textures, such as a skyrmion and a hedgehog. We theoretically investigate yet another multiple-$Q$ state with topological defects, a meron-antimeron crystal (MAX), represented by a periodic array of the meron and antimeron with a half-integer skyrmion number. Performing simulated annealing for an effective spin model of noncentrosymmetric itinerant magnets on a triangular lattice, we show that rectangular-shaped and triangular-shaped MAXs are stabilized by the interplay between the biquadratic interaction arising from the spin-charge coupling and the Dzyaloshinskii-Moriya interaction arising from the spin-orbit coupling. We also discuss the effect of a magnetic field on the triangular MAX, where highly anisotropic responses against a field direction are found. In particular, we show that the triangular MAX turns into the skyrmion crystal for the fields along the $y$ and $z$ directions, while it is replaced by another chiral state for the field along the $x$ direction. These results would inspire further experimental investigation of the MAXs in itinerant magnets.

arXiv comment11 pages, 10 figures

References in corpus (51)

• Skyrmion Lattice in a Chiral Magnet
• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• Spontaneous Skyrmion Ground States in Magnetic Metals
• Magnetic inversion symmetry breaking and ferroelectricity in TbMnO3
• Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
• Multiply periodic states and isolated skyrmions in an anisotropic frustrated magnet
• Inversion symmetry breaking in noncollinear magnetic phase of a triangular lattice antiferromagnet CuFeO2
• Skyrmion-electronics: Writing, deleting, reading and processing magnetic skyrmions toward spintronic applications
• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions
• Robust metastable skyrmions and their triangular-square lattice-structural transition in a high-temperature chiral magnet
• Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
• Effective bilinear-biquadratic model for noncoplanar ordering in itinerant magnets
• Spontaneous skyrmionic lattice from anisotropic symmetric exchange in a Ni-halide monolayer
• Real-space observation of short-period cubic lattice of skyrmions in MnGe
• Compact Skyrmions, Merons and Bimerons in Thin Chiral Magnetic Films
• Néel-type skyrmion lattice in tetragonal polar magnet VOSe${}_2$O${}_5$
• Bubble and Skyrmion Crystals in Frustrated Magnets with Easy-Axis Anisotropy
• Hidden Multiple-spin Interactions as an Origin of Spin Scalar Chiral Order in Frustrated Kondo Lattice Models
• Topological-chiral magnetic interactions driven by emergent orbital magnetism
• Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
• Theory of helical spin crystals: phases, textures and properties
• Imaging the coupling between itinerant electrons and localised moments in the centrosymmetric skyrmion magnet GdRu2Si2
• Square skyrmion crystal in centrosymmetric itinerant magnets
• Vortex Crystals with Chiral Stripes in Itinerant Magnets
• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
• Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
• Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
• 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
• Magnetic hedgehog lattices in noncentrosymmetric metals
• Effect of magnetic anisotropy on Skyrmions with a high topological number in itinerant magnets
• Z_2-vortex lattice in the ground state of the triangular Kitaev-Heisenberg model
• Vortices, skyrmions, and chirality waves in frustrated Mott insulators with a quenched periodic array of impurities
• Field-Direction Sensitive Skyrmion Crystals in Cubic Chiral Systems: Implication to $4f$-Electron Compound EuPtSi
• Chiral Soliton Lattice Formation in Monoaxial Helimagnet Yb(Ni${}_{1-x}$Cu${}_x$)${}_3$Al${}_9$
• Zero-temperature phases for chiral magnets in three dimensions
• Degeneracy Lifting of Néel, Bloch, and Anti-Skyrmion Crystals in Centrosymmetric Tetragonal Systems
• Magnetic vortex crystals in frustrated Mott insulator
• Chirality waves in two-dimensional magnets
• Paths to annihilation of first and second-order (anti)skyrmions via (anti)meron nucleation on the frustrated square lattice
• Hedgehog-lattice spin texture in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Theory of skyrmion, meron, anti-skyrmion and anti-meron in chiral magnets
• Three-Dimensional Crystallization of Vortex Strings in Frustrated Quantum Magnets
• The dynamics of local magnetic moments induced by itinerant Weyl electrons
• Direct observation of cycloidal spin modulation and field-induced transition in Néel-type skyrmion-hosting VOSe${}_2$O${}_5$
• Engineering chiral density waves and topological band structures by multiple-$Q$ superpositions of collinear up-up-down-down orders
• Double-$Q$ Chiral Stripe in the $d$-$p$ Model with Strong Spin-Charge Coupling
• Magnon condensation with finite degeneracy on the triangular lattice