Switchable Quantum Anomalous Hall state in a strongly frustrated lattice magnet

Abstract

We establish that the interplay of itinerant fermions with localized magnetic moments on a checkerboard lattice leads to magnetic flux-phases. For weak itineracy the flux-phase is coplanar and the electronic dispersion takes the shape of graphene-like Dirac fermions. Stronger itineracy drives the formation of a non-coplanar, chiral flux-phase, in which the Dirac fermions acquire a topological mass that is proportional to a ferromagnetic spin polarization. Consequently the system self-organizes into a ferromagnetic Quantum Anomalous Hall state in which the direction of its dissipationless edge-currents can be switched by an applied magnetic field.

4.5 pages, 3 figures

References in corpus (17)

• The electronic properties of graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• Fractional quantum Hall states at zero magnetic field
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Nearly-flat bands with nontrivial topology
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Topological Mott Insulators
• Fractional quantum Hall effect in the absence of Landau levels
• 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
• Unconventional Anomalous Hall Effect in the Metallic Triangular-Lattice Magnet PdCrO2
• Competing orders in FeAs layers
• Fractional quantum-Hall liquid spontaneously generated by strongly correlated t_2g electrons
• Frustration-induced insulating chiral spin state in itinerant triangular-lattice magnets
• Itinerant electrons in the Coulomb phase

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• Phases of correlated spinless fermions on the honeycomb lattice
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• Noncollinear Magnetic Order Stabilized by Entangled Spin-Orbital Fluctuations
• Stabilization mechanisms of magnetic skyrmion crystal and multiple-$Q$ states based on momentum-resolved spin interactions
• Competing Chiral Orders in the Topological Haldane-Hubbard Model of Spin-1/2 Fermions and Bosons
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• Quantum Hall ice
• Topological semimetal-to-insulator phase transition between noncollinear and noncoplanar multiple-Q states on a square-to-triangular lattice
• High-temperature large-gap quantum anomalous Hall insulator in ultrathin double perovskite films
• Coupled spin-charge order in frustrated itinerant triangular magnets
• Spontaneous formation of kagome network and Dirac half-semimetal on a triangular lattice
• Anyons in integer quantum Hall magnets
• Noncollinear magnetic ordering in a frustrated magnet: Metallic regime and the role of frustration
• Noncollinear and noncoplanar magnetic order in the extended Hubbard model on anisotropic triangular lattice
• Quantum Anomalous Hall Effect and Anderson Chern Insulating Regime in Noncollinear Antiferromagnetic 3Q State
• Quantum Anomalous Hall Effect in Perfectly Compensated Collinear Antiferromagnetic Thin Films
• Zero-field Skyrmions with a High Topological Number in Itinerant Magnets
• Antiferromagnetic chiral spin density wave and strain-induced Chern insulator in the square lattice Hubbard model with frustration
• Noncollinear magnetic ordering in the Shastry-Sutherland Kondo lattice model: Insulating regime and the role of Dzyaloshinskii-Moriya interaction
• Phase Diagram of the Shastry-Sutherland Kondo Lattice Model with Classical Localized Spins: A Variational Calculation Study
• A strong coupling theory for electron-mediated interactions in double-exchange models
• Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary
• Reconstruction of chiral edge states in a magnetic Chern insulator
• Electronic route to stabilize nanoscale spin textures in itinerant frustrated magnets
• Topological Hall effect in the Shastry-Sutherland lattice
• Topological Aspects of Antiferromagnets
• Double-$Q$ and quadruple-$Q$ instabilities at low-symmetric ordering wave vectors under tetragonal symmetry
• Surface and interface effects on a magnetic Chern insulator
• Field-tunable quadruple-$Q$ states driven by momentum-space frustration