Multifarious skyrmion phases on a trilayer triangular lattice

Abstract

The instability toward a magnetic skyrmion crystal in centrosymmetric trilayer magnets is investigated based on a spin model with layer-dependent Dzayloshinskii-Moriya interaction. We find various types of skyrmion crystal phases with different skyrmion numbers in a low-temperature phase diagram by performing the simulated annealing. In addition to the Néel skyrmion crystal phase that is expected to emerge in the presence of the polar-type Dzayloshinskii-Moriya interaction, we obtain the skyrmion crystal phases characteristics of the layered system: the twisted surface skyrmion crystal, anti-skyrmion crystal, and high-topological-number skyrmion crystal phases. The rich magnetic phases are brought about by the synergy among the layer-dependent Dzayloshinskii-Moriya interaction, interlayer exchange interaction, and an external magnetic field. Our results indicate that the layer degree of freedom at the surface and heterostructures provides a good platform to engineer and design the topological spin textures.

arXiv comment22 pages, 14 figures, 1 table, accepted for publication in PRB

References in corpus (129)

• Quantum Spin Hall Effect in Graphene
• Skyrmion Lattice in a Chiral Magnet
• Topological Insulators in Three Dimensions
• 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
• Ferroelectricity in spiral magnets
• 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
• Hidden spin polarization in inversion-symmetric bulk crystals
• Antiferromagnetic Skyrmion: Stability, Creation and Manipulation
• Skyrmion-electronics: Writing, deleting, reading and processing magnetic skyrmions toward spintronic applications
• Spin-Wave Modes and Their Intense Excitation Effects in Skyrmion Crystals
• Skyrmion phase and competing magnetic orders on a breathing kagome 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
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Ginzburg-Landau theory for skyrmions in inversion-symmetric magnets with competing interactions
• Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
• 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
• Spontaneous skyrmionic lattice from anisotropic symmetric exchange in a Ni-halide monolayer
• Real-space observation of short-period cubic lattice of skyrmions in MnGe
• Skyrmion dynamics in a frustrated ferromagnetic film and current-induced helicity locking-unlocking transition
• Fractional antiferromagnetic skyrmion lattice induced by anisotropic couplings
• Electronic Orbital Currents and Polarization in Mott Insulators
• Bubble and Skyrmion Crystals in Frustrated Magnets with Easy-Axis Anisotropy
• Antiferromagnetic skyrmion crystals: generation, topological Hall and topological spin Hall effect
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Electric-field control of the skyrmion lattice in Cu2OSeO3
• Three-dimensional skyrmion states in thin films of cubic helimagnets
• Topological-chiral magnetic interactions driven by emergent orbital magnetism
• Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
• Nonreciprocal spin wave propagation in chiral-lattice ferromagnets
• Toroidal order in metals without local inversion symmetry
• Spiral spin-liquid and the emergence of a vortex-like state in MnSc${}_2$S${}_4$
• Meron, skyrmion, and vortex crystals in centrosymmetric tetragonal magnets
• Three-sublattice Skyrmion crystal in the antiferromagnetic triangular lattice
• Spontaneous Antisymmetric Spin Splitting in Noncollinear Antiferromagnets without Spin-Orbit Coupling
• Skyrmion Crystal from RKKY Interaction Mediated by 2D Electron Gas
• Magneto-Electric Effect in Three-dimensional Coupled Zigzag Chains
• Propagating spin excitations along skyrmion strings
• Theory of helical spin crystals: phases, textures and properties
• Locally Non-centrosymmetric Superconductivity in Multilayer Systems
• Imaging the coupling between itinerant electrons and localised moments in the centrosymmetric skyrmion magnet GdRu2Si2
• Topological spin crystals by itinerant frustration
• Square skyrmion crystal in centrosymmetric itinerant magnets
• Vortex Crystals with Chiral Stripes in Itinerant Magnets
• Emergent topological spin structures in a centrosymmetric cubic perovskite
• Selective probing of hidden spin-polarized states in inversion-symmetric bulk MoS2
• Nanometric skyrmion lattice from anisotropic exchange interactions in a centrosymmetric host
• Thermodynamically stable skyrmion lattice in tetragonal frustrated antiferromagnet with dipolar interaction
• Role of higher-order exchange interactions for skyrmion stability
• Néel- and Bloch-Type Magnetic Vortices in Rashba Metals
• Skyrmions in Chiral Magnets with Rashba and Dresselhaus Spin-Orbit Coupling
• Anomalous Hall resistivity and possible topological Hall effect in the EuAl${}_4$ antiferromagnet
• Noncoplanar multiple-$Q$ 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
• Effect of magnetic anisotropy on Skyrmions with a high topological number in itinerant magnets
• Magnetic hedgehog lattices in noncentrosymmetric metals
• Quantum spin liquids in frustrated spin-1 diamond antiferromagnets
• Phase Shift in Skyrmion Crystals
• Dynamical magnetoelectric phenomena of multiferroic skyrmions
• Static and dynamic properties of bimerons in a frustrated ferromagnetic monolayer
• 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
• Quantum skyrmions in frustrated ferromagnets
• Degeneracy Lifting of Néel, Bloch, and Anti-Skyrmion Crystals in Centrosymmetric Tetragonal Systems
• Emergent spin-valley-orbital physics by spontaneous parity breaking
• Asymmetric Magnon Excitation by Spontaneous Toroidal Ordering
• The chiral biquadratic pair interaction
• Charge-Density-Wave Order and Multiple Magnetic Transitions in Divalent Europium Compound EuAl${}_4$
• Spontaneous Parity Breaking in Spin-Orbital Coupled Systems
• Topological Hall Effect and Emergent Skyrmion Crystal in Manganite-Iridate Oxide Interfaces
• Spontaneous multipole ordering by local parity mixing
• Chirality waves in two-dimensional magnets
• Manipulating magnetoelectric effect -- Essence learned from Co${}_4$Nb${}_2$O${}_9$
• Superconductivity in magnetic multipole states
• Analysis of model parameter dependences on the second-order nonlinear conductivity in $\mathcal{P}\mathcal{T}$-symmetric collinear antiferromagnetic metals with magnetic toroidal moment on zigzag chains
• Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure: implication to 5$d$ transition metal oxides $A$OsO${}_4$ ($A=$ K, Rb, and Cs)
• Nonreciprocal Directional Dichroism and Toroidalmagnons in Helical Magnets
• Face centered cubic and hexagonal close packed skyrmion crystals in centro-symmetric magnets
• Skyrmion crystal and spiral phases in centrosymmetric bilayer magnets with staggered Dzyaloshinskii-Moriya interaction
• Stability of the spiral spin liquid in MnSc${}_2$S${}_4$
• 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
• Theory of magnetic skyrmion glass
• Current-Driven Dynamics of Frustrated Skyrmions in a Synthetic Antiferromagnetic Bilayer
• Helicity locking of square skyrmion crystal in a centrosymmetric lattice system without vertical mirror symmetry
• Spin liquid in a single crystal of the frustrated diamond lattice antiferromagnet CoAl2O4
• Magnetoelectric effect and orbital magnetization in skyrmion crystals: Detection and characterization of skyrmions
• Spin eigen-excitations of an antiferromagnetic skyrmion
• Prospecting chiral multi-site interactions in prototypical magnetic systems
• Nonreciprocity of spin waves in noncollinear magnets due to the Dzyaloshinskii-Moriya interaction
• Hedgehog-lattice spin texture in classical Heisenberg antiferromagnets on the breathing pyrochlore lattice
• Locking of skyrmion cores on a centrosymmetric discrete lattice: onsite versus offsite
• Electric Octupole Order in Bilayer Ruthenate Sr${}_3$Ru${}_2$O${}_7$
• Multiple-$q$ states of the $J_1$-$J_2$ classical honeycomb-lattice Heisenberg antiferromagnet under magnetic fields
• Spin excitation spectra in helimagnetic states: proper-screw, cycloid, vortex crystal, and hedgehog lattice
• Orbital magnetoelectric effect in zigzag nanoribbons of p-band systems
• 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
• Odd-Parity Multipoles by Staggered Magnetic Dipole and Electric Quadrupole Orderings in CeCoSi
• Magnetoelectric Effects and Charge-Imbalanced Solenoids: Antiferro Quadrupole Orders in a Diamond Structure
• Odd-parity multipole fluctuation and unconventional superconductivity in locally noncentrosymmetric crystal
• 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
• Theory of Ca${}_{10}$Cr${}_7$O${}_{28}$ as a bilayer breathing-kagome magnet: Classical thermodynamics and semi-classical dynamics
• Magnetic field-temperature phase diagrams for multiple-$Q$ magnetic orderings: Exact steepest descent approach to long-range interacting spin systems
• Electric octupole order in bilayer Rashba system
• How many spin liquids are there in Ca${}_{10}$Cr${}_7$O${}_{28}$?
• 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
• Tunneling spin current in a system with spin degeneracy
• Rashba-Zener mechanism for nanoscale skyrmions and topological metals
• Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy
• Dynamical Switching of Magnetic Topology in Microwave-Driven Itinerant Magnet
• Topological phase transition driven by magnetic field and topological Hall effect in an antiferromagnetic skyrmion lattice
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets
• NQR and NMR spectra in odd-parity multipole material CeCoSi
• Antiferromagnetic Skyrmions and Skyrmion Density Wave in Rashba Hund's Insulator
• Optical Selection Rules in Spin-Orbit Coupled Systems on Honeycomb Lattice
• Vector vorticity of skyrmionic texture: an internal degree of freedom tunable by magnetic field
• Biskyrmions Lattices in Centrosymmetric Magnetic Films
• Spin-current diode with a monoaxial chiral magnet

Cited by in corpus (21)

• Experimental signatures of quantum and topological states in frustrated magnetism
• Spontaneous antiferromagnetic skyrmion/antiskyrmion lattice and spiral spin liquid states in the frustrated triangular lattice
• Rectangular and square skyrmion crystals on a centrosymmetric square lattice with easy-axis anisotropy
• 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
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Ferroaxial moment induced by vortex spin texture
• Unconventional Surface State Pairs in a High-Symmetry Lattice with Anti-ferromagnetic Band-folding
• Stability of Skyrmion Crystal Phase in Centrosymmetric Distorted Triangular-Lattice Antiferromagnets
• Ferrochiral, antiferrochiral, and ferrichiral skyrmion crystals in an itinerant honeycomb magnet
• Skyrmion crystal under $D_{3h}$ point group: Role of out-of-plane Dzyaloshinskii-Moriya interaction
• Skyrmion crystal with integer and fractional skyrmion numbers in a nonsymmorphic lattice structure with the screw axis
• Hybrid skyrmion and anti-skyrmion phases in polar $C_{4v}$ systems
• Antiferro skyrmion crystal phases in a synthetic bilayer antiferromagnet under an in-plane magnetic field
• Rich Magnetic Phase Diagram of Putative Helimagnet Sr${}_3$Fe${}_2$O${}_7$
• Engineering a skyrmion crystal in ferromagnetic/antiferromagnetic bilayers free from the DM interaction
• Uniform and Staggered electric axial moment in zigzag chain
• Three-sublattice antiferro-type and ferri-type skyrmion crystals in centrosymmetric magnets
• Probing Random-Bond Disorder Effects on Ferromagnetic Skyrmion Arrays
• Field-tunable quadruple-$Q$ states driven by momentum-space frustration
• Stacking-dependent nonreciprocal transport in magnetic skyrmions