Novel magnetic orderings in the kagome Kondo-lattice model

Abstract

We consider the Kondo-lattice model on the kagome lattice and study its weak-coupling instabilities at band filling fractions for which the Fermi surface has singularities. These singularites include Dirac points, quadratic Fermi points in contact with a flat band, and Van Hove saddle points. By combining a controlled analytical approach with large-scale numerical simulations, we demonstrate that the weak-coupling instabilities of the Kondo-lattice model lead to exotic magnetic orderings. In particular, some of these magnetic orderings produce a spontaneous quantum anomalous Hall state.

15 pages, 11 figures

References in corpus (19)

• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• The Kernel Polynomial Method
• Nearly-flat bands with nontrivial topology
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Topological Mott Insulators
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Unconventional Anomalous Hall Effect in the Metallic Triangular-Lattice Magnet PdCrO2
• Charge instabilities and topological phases in the extended Hubbard model on the honeycomb lattice with enlarged unit cell
• Frustration-induced insulating chiral spin state in itinerant triangular-lattice magnets
• Noncoplanar magnetic ordering driven by itinerant electrons on the pyrochlore lattice
• Dipolar order by disorder in the classical Heisenberg antiferromagnet on the kagome lattice
• Spontaneous symmetry breakings in two-dimensional kagome lattice
• Anomalous Hall Effect due to the spin chirality in the Kagomé lattice
• Spontaneous quantum Hall effect via thermally induced quadratic Fermi point
• Broken translational symmetry in an emergent paramagnetic phase of graphene

Cited by in corpus (34)

• Fermi surface mapping and the nature of charge density wave order in the kagome superconductor CsV${}_3$Sb${}_5$
• Charge density wave in kagome lattice intermetallic ScV6Sn6
• Emergence of new van Hove singularities in the charge density wave state of a topological kagome metal RbV3Sb5
• Fermi level tuning and double-dome superconductivity in the kagome metals CsV${}_3$Sb${}_{5-x}$Sn${}_x$
• Topological spin crystals by itinerant frustration
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Real space Berry curvature of itinerant electron systems with spin-orbit interaction
• A bird's eye view on the flat and conic band world of the honeycomb and Kagome lattices: Towards an understanding of 2D Metal-Organic Frameworks electronic structure
• 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
• Low-Energy Excitations of Skyrmion Crystals in a Centrosymmetric Kondo-Lattice Magnet: Decoupled Spin-Charge Excitations and Nonreciprocity
• The dynamics of local magnetic moments induced by itinerant Weyl electrons
• Widely-sweeping magnetic field-temperature phase diagrams for skyrmion-hosting centrosymmetric tetragonal magnets
• 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
• Nonreciprocal Transport in Noncoplanar Magnetic Systems without Spin-Orbit Coupling, Net Scalar Chirality, or Magnetization
• Skyrmion Crystals in the Triangular Kondo Lattice Model
• Spontaneous formation of kagome network and Dirac half-semimetal on a triangular lattice
• Complex magnetic and spatial symmetry breaking from correlations in kagome flat bands
• Anomalous Magnetoresistance due to Longitudinal Spin Fluctuations in a Jeff = 1/2 Mott Semiconductor
• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
• Skyrmion and vortex crystals in the Hubbard model
• Isolated flat bands in an interlocking-circles lattice
• Emergent skyrmion-based chiral order in zero-field Heisenberg antiferromagnets on the breathing kagome lattice
• Magnetic orderings from spin-orbit coupled electrons on kagome lattice
• Kondo screening and coherence in kagome local-moment metals: Energy scales of heavy fermions in the presence of flat bands
• Self-consistent Analysis of Doping Effect for Magnetic Ordering in Stacked-Kagome Weyl System
• Charge bond order and s-wave superconductivity in the kagome lattice with electron-phonon coupling and electron-electron interaction
• Zero-field miniature skyrmion crystal and chiral domain state in breathing-kagome antiferromagnets
• Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary
• Magnetic ground state and perturbations of the distorted kagome Ising metal TmAgGe
• Effective Tight-Binding Model of Compensated Ferrimagnetic Weyl Semimetal with Spontaneous Orbital Magnetization
• Field-tunable quadruple-$Q$ states driven by momentum-space frustration
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order