Chirality waves in two-dimensional magnets

Abstract

We theoretically show that moderate interaction between electrons confined to move in a plane and localized magnetic moments leads to formation of a noncoplanar magnetic state. The state is similar to the skyrmion crystal recently observed in cubic systems with the Dzyaloshinskii-Moriya interaction; however, it does not require spin-orbit interaction. The non-coplanar magnetism is accompanied by the ground-state electrical and spin currents, generated via the real-space Berry phase mechanism. We examine the stability of the state with respect to lattice discreteness effects and the magnitude of magnetic exchange interaction. The state can be realized in a number of transition metal and magnetic semiconductor systems.

References in corpus (10)

• Skyrmion Lattice in a Chiral Magnet
• Spontaneous Skyrmion Ground States in Magnetic Metals
• Topological Hall effect in the A-phase of MnSi
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Stability of spontaneous quantum Hall state in the Triangular Kondo-lattice model
• Frustration-induced insulating chiral spin state in itinerant triangular-lattice magnets
• Anomalous Hall effect in field-effect structures of (Ga,Mn)As
• Noncoplanar magnetic ordering driven by itinerant electrons on the pyrochlore lattice
• Chirality and $Z_2$ vortices in an Heisenberg spin model on the kagomé lattice
• Magnetic Excitations of the 2-D Sm Spin Layers in Sm(La,Sr)CuO4

Cited by in corpus (40)

• Three-sublattice Skyrmion crystal in the antiferromagnetic triangular lattice
• Skyrmion Crystal from RKKY Interaction Mediated by 2D Electron Gas
• Topological spin crystals by itinerant frustration
• Square skyrmion crystal in centrosymmetric itinerant magnets
• Vortex Crystals with Chiral Stripes in Itinerant Magnets
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Efficient Langevin Simulation of Coupled Classical Fields and Fermions
• Extension of the standard Heisenberg Hamiltonian to multispin exchange interactions
• Effective spin model in momentum space: Toward a systematic understanding of multiple-$Q$ instability by momentum-resolved anisotropic exchange interactions
• 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
• Incommensurate spiral order from double exchange interactions
• Locking of skyrmion cores on a centrosymmetric discrete lattice: onsite versus offsite
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Multifarious skyrmion phases on a trilayer triangular lattice
• Role of structural factors in formation of chiral magnetic soliton lattice in Cr1/3NbS2
• Engineering chiral density waves and topological band structures by multiple-$Q$ superpositions of collinear up-up-down-down orders
• Skyrmion crystals in centrosymmetric triangular magnets under hexagonal and trigonal single-ion anisotropy
• Temperature-driven transition from skyrmion to bubble crystals in centrosymmetric itinerant magnets
• First-principles study of magnetic states and the anomalous Hall conductivity of $M$Nb${}_3$S${}_6$ ($M$=Co, Fe, Mn, and Ni)
• Heavy antiferromagnetic phases in Kondo lattices
• Charge density waves in multiple-$Q$ spin states
• Square skyrmion crystal in centrosymmetric systems with locally inversion-asymmetric layers
• Skyrmion Crystals in the Triangular Kondo Lattice Model
• Skyrmion and vortex crystals in the Hubbard model
• Magnetic vortex-antivortex crystals generated by spin-polarized current
• Non-collinear antiferromagnetic states in Ru-based Heusler compounds induced by biquadratic coupling
• Zero-field Skyrmions with a High Topological Number in Itinerant Magnets
• 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
• Anomalous valley Hall effect in monolayer chromium-based triple-Q magnets
• Kernel Polynomial Method for Linear Spin Wave Theory
• Checkerboard bubble lattice formed by octuple-period quadruple-$Q$ spin density waves
• Anisotropic skyrmion crystal on a centrosymmetric square lattice under an in-plane magnetic field
• Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary
• Possibility of Emergence of Chiral Magnetic Soliton in Hexagonal Metal Formate [NH4][M(HCOO)3] with M2+ = Mn, Fe, Co, and Ni and KCo(HCOO)3
• Cascade of Spin Moiré Superlattices with In-Plane Field in Triangle Lattice Semimetal EuAg${}_4$Sb${}_2$
• Single-$q$ Cycloid and Double-$q$ Vortex Lattices in Layered Magnetic Semimetal EuAg${}_4$Sb${}_2$
• Meron-antimeron crystals in noncentrosymmetric itinerant magnets on a triangular lattice
• Field-tunable quadruple-$Q$ states driven by momentum-space frustration