Skyrmion crystal with integer and fractional skyrmion numbers in a nonsymmorphic lattice structure with the screw axis

Abstract

The emergence of a magnetic skyrmion crystal in a nonsymmorphic lattice system with the screw symmetry is numerically investigated. By performing the simulated annealing for a layered spin model with the isotropic exchange interaction and the antisymmetric Dzyaloshinskii-Moriya interaction, and then constructing a low-temperature phase diagram, we reveal that the skyrmion crystal is stabilized in both zero and nonzero fields even without the threefold rotational symmetry in the two-dimensional plane. We show that a competition between the ferromagnetic interlayer exchange interaction and the layer- and momentum-dependent anisotropic interactions is a source of the skyrmion crystals in the presence of the screw axis. Moreover, we find two types of layer-dependent skyrmion crystals, which are characterized as a coexisting state of the skyrmion crystal and the spiral state, in the narrow field region. Our result provides a reference for further search of the skyrmion crystals in nonsymmorphic lattice systems.

15 pages, 12 figures, accepted for publication in PRB

References in corpus (56)

• Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
• Spin current and magneto-electric effect in non-collinear magnets
• Spontaneous Skyrmion Ground States in Magnetic Metals
• A new class of chiral materials hosting magnetic skyrmions beyond room temperature
• 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
• Bottom-up design of spin-split and reshaped electronic band structures in spin-orbit-coupling free antiferromagnets: Procedure on the basis of augmented multipoles
• Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
• Theory of the helical spin crystal: a candidate for the partially ordered state of MnSi
• Spontaneous skyrmionic lattice from anisotropic symmetric exchange in a Ni-halide monolayer
• Electronic Orbital Currents and Polarization in Mott Insulators
• Observation of two independent skyrmion phases in a chiral magnetic material
• Toroidal order in metals without local inversion symmetry
• 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
• Topological spin crystals by itinerant frustration
• Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
• Thermodynamically stable skyrmion lattice in tetragonal frustrated antiferromagnet with dipolar interaction
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Anomalous Hall resistivity and possible topological Hall effect in the EuAl${}_4$ antiferromagnet
• Zoology of multiple-Q spin textures in a centrosymmetric tetragonal magnet with itinerant electrons
• Magnetoelectric Resonances and Predicted Microwave Diode Effect of Skyrmion Crystal in Multiferroic Chiral-Lattice Magnet
• Phase Shift in Skyrmion Crystals
• Skyrmions in twisted van der Waals magnets
• Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets
• 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
• Degeneracy Lifting of Néel, Bloch, and Anti-Skyrmion Crystals in Centrosymmetric Tetragonal Systems
• Metastable skyrmion lattices governed by magnetic disorder and anisotropy in $\beta$-Mn-type chiral magnets
• Charge-Density-Wave Order and Multiple Magnetic Transitions in Divalent Europium Compound EuAl${}_4$
• Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
• Spin order and fluctuations in the EuAl${}_4$ and EuGa${}_4$ topological antiferromagnets: A $\mu$SR study
• Mean-field approach for skyrmion lattice in hexagonal frustrated antiferromagnets
• 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
• 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
• Replica symmetry breaking in the RKKY skyrmion crystal system
• Skyrmion crystal in the RKKY system on the two-dimensional triangular lattice
• Mechanism of antisymmetric spin polarization in centrosymmetric multiple-$Q$ magnets based on bilinear and biquadratic spin cross products
• Multifarious skyrmion phases on a trilayer triangular lattice
• Phase transitions between helices, vortices, and hedgehogs driven by spatial anisotropy in chiral magnets
• Short period magnetization texture of B20-MnGe explained by thermally fluctuating local moments
• Magnetic field-temperature phase diagrams for multiple-$Q$ magnetic orderings: Exact steepest descent approach to long-range interacting spin systems
• Double-$Q$ Chiral Stripe in the $d$-$p$ Model with Strong Spin-Charge Coupling
• Dynamical Switching of Magnetic Topology in Microwave-Driven Itinerant Magnet
• Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy
• Rashba-Zener mechanism for nanoscale skyrmions and topological metals
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets
• Topological semimetal-to-insulator phase transition between noncollinear and noncoplanar multiple-Q states on a square-to-triangular lattice
• Charge density waves in multiple-$Q$ spin states
• A hierarchy of multi-moment skyrmion phases in twisted magnetic bilayers
• Spin-orbital-momentum locking under odd-parity magnetic quadrupole ordering

Cited by in corpus (3)

• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
• Antiferro skyrmion crystal phases in a synthetic bilayer antiferromagnet under an in-plane magnetic field