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 (47)

• Quantum Spin Hall Effect in Graphene
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• The Kernel Polynomial Method
• Nearly-flat bands with nontrivial topology
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Chiral superconductivity from repulsive interactions in doped graphene
• Topological Mott Insulators
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• Topological insulator on the kagome lattice
• Unconventional Fermi surface instabilities in the Kagome Hubbard Model
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Competing electronic orders on Kagome lattices at van Hove filling
• 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
• Electrically tunable quantum anomalous Hall effect in 5d transition-metal adatoms on graphene
• Correlation-driven chiral superconductivity and chiral spin order in doped kagome lattice
• Sublattice Interference in the Kagome Hubbard Model
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Lattice symmetries and regular states in classical frustrated antiferromagnets
• Interaction driven instabilities of a Dirac semi-metal
• Unconventional Anomalous Hall Effect in the Metallic Triangular-Lattice Magnet PdCrO2
• Stability of spontaneous quantum Hall state in the Triangular Kondo-lattice model
• Tunneling of Obliquely-Incident Waves through PT-Symmetric Epsilon-Near-Zero Bi-Layers
• Efficient Langevin Simulation of Coupled Classical Fields and Fermions
• Phases of correlated spinless fermions on the honeycomb lattice
• Charge instabilities and topological phases in the extended Hubbard model on the honeycomb lattice with enlarged unit cell
• Itinerant half-metal spin-density-wave state on the hexagonal lattice
• Frustration-induced insulating chiral spin state in itinerant triangular-lattice magnets
• Interaction driven phases in the honeycomb lattice from exact diagonalization
• Noncoplanar magnetic ordering driven by itinerant electrons on the pyrochlore lattice
• Dipolar order by disorder in the classical Heisenberg antiferromagnet on the kagome lattice
• LiV${}_2$O${}_4$: frustration induced heavy fermion metal
• Switchable Quantum Anomalous Hall state in a strongly frustrated lattice magnet
• Spontaneous symmetry breakings in two-dimensional kagome lattice
• Instabilities of quadratic band crossing points
• Anomalous Hall Effect due to the spin chirality in the Kagomé lattice
• Spontaneous quantum Hall effect via thermally induced quadratic Fermi point
• 3D Dirac Electrons on a Cubic Lattice with Noncoplanar Multiple-Q Order
• Spin superstructure and noncoplanar ordering in metallic pyrochlore magnets with degenerate orbitals
• Spontaneous Spatial Inversion Symmetry Breaking and Spin Hall Effect in a Spin-ice Double-exchange Model on a Pyrochlore Lattice
• Broken translational symmetry in an emergent paramagnetic phase of graphene
• Macroscopic Degeneracy and Emergent Frustration in a Honeycomb Lattice Magnet
• Polynomial Expansion Monte Carlo Study of Frustrated Itinerant Electron Systems: Application to a Spin-ice type Kondo Lattice Model on a Pyrochlore Lattice

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