Spontaneous antiferromagnetic skyrmion/antiskyrmion lattice and spiral spin liquid states in the frustrated triangular lattice

Abstract

Magnetic skyrmions are topological quasiparticles of great interest for data storage applications because of their small size, high stability, and ease of manipulation via electric current. Antiferromagnetic (AF) skyrmions, with new features and huge benefits (ultra-small skyrmion sizes, no transverse deflection and efficient manipulation), have recently become the subject of intense focus. Here we show that a spontaneous antiferromagnetic skyrmion/antiskyrmion lattice (AF-SkL/ASkL) emerges in the classical Heisenberg antiferromagnet on the triangular-lattice under magnetic fields, taking only exchange interactions up to third nearest neighbors ($J_1$-$J_2$-$J_3$). By means of the Luttinger-Tisza approximation and large scale Monte-Carlo simulations (combining Parallel-Tempering and overrelaxation with the Metropolis algorithm), we present a rich $J_2$-$J_3$ magnetic phase diagram including exotic multiple-q phases, degenerate states and a spontaneous AF-SkL/ASkL lattice at intermediate magnetic fields. In addition, we show that at zero magnetic field, exotic spin liquid states with ring-like degeneracy emerge at intermediate temperatures, which are broken by thermal fluctuations selecting different multiple-q states. These findings greatly enrich the research on antiferromagnetic skyrmions in centrosymmetric materials or lattices including relatively weak Dzyaloshinskii-Moriya interaction.

arXiv comment11 pages, 5 figures - Accepted for publication in Phys. Rev. B

References in corpus (59)

• Skyrmion Lattice in a Chiral Magnet
• Direct Observation of the Skyrmion Hall Effect
• Skyrmion Hall Effect Revealed by Direct Time-Resolved X-Ray Microscopy
• Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
• Beyond skyrmions: Review and perspectives of alternative magnetic quasiparticles
• 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
• Magnetic bilayer-skyrmions without skyrmion Hall effect
• Antiferromagnetic Skyrmion: Stability, Creation and Manipulation
• Current-driven dynamics and inhibition of the skyrmion Hall effect of ferrimagnetic skyrmions in GdFeCo films
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
• Antiferromagnetic Half-skyrmions and Bimerons at room temperature
• Spontaneous skyrmionic lattice from anisotropic symmetric exchange in a Ni-halide monolayer
• Fractional antiferromagnetic skyrmion lattice induced by anisotropic couplings
• Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Lattice symmetries and regular states in classical frustrated antiferromagnets
• Antiferromagnetic skyrmion crystals: generation, topological Hall and topological spin Hall effect
• 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
• Octupolar ordering of classical kagome antiferromagnets in two and three dimensions
• Skyrmion Crystal from RKKY Interaction Mediated by 2D Electron Gas
• Square skyrmion crystal in centrosymmetric itinerant magnets
• Edge states and skyrmion dynamics in nanostripes of frustrated magnets
• Thermodynamically stable skyrmion lattice in tetragonal frustrated antiferromagnet with dipolar interaction
• Role of higher-order exchange interactions for skyrmion stability
• Phase diagram of the classical Heisenberg antiferromagnet on a triangular lattice in applied magnetic field
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Novel spin-liquid states in the frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Asymmetric skyrmion Hall effect in systems with a hybrid Dzyaloshinskii-Moriya interaction
• Multiple skyrmion crystal phases by itinerant frustration in centrosymmetric tetragonal magnets
• Magnetic phase diagrams of classical triangular and kagome antiferromagnets
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Triangular antiferromagnet with nonmagnetic impurities
• Dipolar-stabilized first and second-order antiskyrmions in ferrimagnetic multilayers
• Mean-field approach for skyrmion lattice in hexagonal frustrated antiferromagnets
• Doping control of magnetic anisotropy for stable antiskyrmion formation in schreibersite (Fe,Ni)${}_3$P with $S_4$ symmetry
• Spiral spin-liquid on a honeycomb lattice
• Generic Spiral Spin Liquids
• Multiple-$q$ states of the $J_1$-$J_2$ classical honeycomb-lattice Heisenberg antiferromagnet under magnetic fields
• Multifarious skyrmion phases on a trilayer triangular lattice
• Anisotropy driven response of skyrmion lattice in MnSc${}_2$S${}_4$ to applied magnetic fields
• Composite Spin Crystal Phase in Antiferromagnetic Chiral Magnets
• Spirals and skyrmions in antiferromagnetic triangular lattices
• Phasons and excitations in skyrmion lattice
• Field-induced pseudo-skyrmion phase in the antiferromagnetic kagome lattice
• Field induced multiple order-by-disorder state selection in antiferromagnetic honeycomb bilayer lattice
• Topological phase transition driven by magnetic field and topological Hall effect in an antiferromagnetic skyrmion lattice
• Stability of skyrmion crystal phase in antiferromagnetic triangular lattice with DMI and single-ion anisotropy
• Stability of skyrmions in perturbed ferromagnetic chiral magnets
• From skyrmions to Z2 vortices in distorted chiral antiferromagnets
• Engineering antiferromagnetic skyrmions and antiskyrmions at metallic interfaces
• Degenerate and chiral states in the extended Heisenberg model in the kagome lattice
• Formation and growth of skyrmion crystal phase in a frustrated Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction
• Frustrated Antiferromagnetic Triangular Lattice with Dzyaloshinskii-Moriya Interaction: Ground States, Spin Waves, Skyrmion Crystal, Phase Transition
• Skyrmion lattice hosted in synthetic antiferromagnets and helix modes
• Antiskyrmions and Bloch Skyrmions in Magnetic Dresselhaus Metals
• Road to zero-field antiferromagnetic skyrmions in a frustrated AFM/FM heterostructure

Cited by in corpus (20)

• Experimental signatures of quantum and topological states in frustrated magnetism
• Composition dependence of bulk properties in the Co-intercalated transition-metal dichalcogenide Co${}_{1/3}$TaS${}_2$
• Combined approach to analyze and classify families of classical spin liquids
• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
• Frustration-induced magnetic bimerons in transition metal halide CoX2 (X = Cl, Br) monolayers
• Suppression of the skyrmion Hall effect in synthetic ferrimagnets with gradient magnetization
• A spin model for intrinsic antiferromagnetic skyrmions on a triangular lattice
• From chiral spin liquids to skyrmion fluids and crystals, and their interplay with itinerant electrons
• Robustness of topological magnons in disordered arrays of skyrmions
• Observation of the spiral spin liquid in a triangular-lattice material
• Frustration-driven topological textures on the honeycomb lattice: antiferromagnetic meron-antimeron and skyrmion crystals emerging from spiral spin liquids
• Chiral magnetic phases in Moire bilayers of magnetic dipoles
• Spin-orbit coupled Hubbard skyrmions
• Thermal Hall effect and gauge-field picture of magnons in antiferromagnetic skyrmion crystals
• Probing Random-Bond Disorder Effects on Ferromagnetic Skyrmion Arrays
• The Finite-Temperature Behavior of a Triangular Heisenberg Antiferromagnet
• Codimension-Two Spiral Spin-Liquid in the Effective Honeycomb-Lattice Compound Cs${}_3$Fe${}_2$Cl${}_9$
• Interplay of electric and magnetic fields in skyrmion phases of the classical Heisenberg model on a square lattice
• Chiral and Clock phases in Twisted Dipolar Clusters
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields