Quantum Anomalous Hall Effect in Kagome Ice

Abstract

An anomalous Hall insulator without magnetic long-range ordering is theoretically reported in the absence of the relativistic spin-orbit coupling. It is realized in itinerant electrons coupled with the Ising spins on a <111> kagome plane of pyrochlore spin ice in applied magnetic field. We find that the kagome-ice type local spin correlation in the magnetization plateau state opens a charge gap without magnetic ordering, which results in quantization of the Hall conductivity. By Monte Carlo simulation, we identify the anomalous Hall insulating region in the magnetic phase diagram, in addition to another anomalous Hall insulator in a fully-saturated state.

5 pages, 4 figures

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• Topological semimetal-to-insulator phase transition between noncollinear and noncoplanar multiple-Q states on a square-to-triangular lattice
• Electronic chiralization as an indicator of the anomalous Hall effect in unconventional magnetic systems
• Quantum field theory of topological spin dynamics
• Spontaneous formation of kagome network and Dirac half-semimetal on a triangular lattice
• From frustrated magnetism to spontaneous Chern insulators
• Colossal enhancement of spin-chirality-related Hall effect by thermal fluctuation
• 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
• Loop Liquid in an Ising-Spin Kondo Lattice Model on a Kagome Lattice
• Exotic magnetic phases in an Ising-spin Kondo lattice model on a kagome lattice
• From chiral spin liquids to skyrmion fluids and crystals, and their interplay with itinerant electrons
• Noncollinear magnetic ordering in the Shastry-Sutherland Kondo lattice model: Insulating regime and the role of Dzyaloshinskii-Moriya interaction
• Large Spontaneous Hall Effects in Chiral Topological Magnets
• Electronic route to stabilize nanoscale spin textures in itinerant frustrated magnets
• Topological Aspects of Antiferromagnets
• On the Stability of Quantum Hall Kagome-ice Insulator