Chiral edge state coupling theory of transport in quantum anomalous Hall insulators
arXiv:2301.07319 · doi:10.1007/s11433-023-2115-7
Abstract
Theoretically, the quantum anomalous Hall effect is characterized by a quantized Hall conductance. However, many experiments only reported the quantization of the Hall resistance, which is accompanied by a non-vanishing longitudinal resistance, resulting in a non-quantized Hall conductance. Meanwhile, the non-vanishing longitudinal resistance features a universal exponential decay with the increase in magnetic field. Such a discrepancy obviously challenges the understanding of the quantum anomalous Hall effect. To this end, we propose that the coupling of chiral edge states, which has not been properly evaluated in the previous theories, hinders the quantization of the Hall conductance, while it maintains the quantization of the Hall resistance. The coupling between the chiral edges states along the opposite boundaries can be assisted by magnetic domains or defects inside the sample bulk, which has been already identified in recent experiments. We demonstrate that the chiral edge state coupling theory works rather well to explain the experimental results in both magnetic topological insulator and moiré superlattice systems.
References in corpus (30)
- Quantized Anomalous Hall Effect in Magnetic Topological Insulators
- High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
- Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
- Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
- Quantum anomalous Hall effect from intertwined moiré bands
- Colloquium: Quantum anomalous Hall effect
- Finite size effects of helical edge states in HgTe/CdTe quantum wells
- Precise quantization of anomalous Hall effect near zero magnetic field
- Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
- Observation of the quantum Hall effect in confined films of the three-dimensional Dirac semimetal Cd3As2
- Chern Number Tunable Quantum Anomalous Hall Effect in Monolayer Transitional Metal Oxides via Manipulating Magnetization Orientation
- Scaling of the Quantum Anomalous Hall Effect as an Indicator of Axion Electrodynamics
- Electrically Tunable Magnetism in Magnetic Topological Insulators
- Observation of the quantum-anomalous-Hall insulator to Anderson insulator quantum phase transition and its scaling behavior
- Axion optical induction of antiferromagnetic order
- Finite-size energy gap in weak and strong topological insulators
- Quantum Anomalous Layer Hall Effect in the Topological Magnet MnBi2Te4
- Current-induced breakdown of the quantum anomalous Hall effect
- Quantum anomalous Hall edge channels survive up to the Curie temperature
- Confinement-Induced Chiral Edge Channel Interaction in Quantum Anomalous Hall Insulators
- Progress and prospects in the quantum anomalous Hall effect
- Zero Magnetic Field Plateau Phase Transition in Higher Chern Number Quantum Anomalous Hall Insulators
- Light-induced phase crossovers in a quantum spin Hall system
- Mesoscopic Transport of Quantum Anomalous Hall Effect in Sub-Micron Size Regime
- Bulk dissipation in the quantum anomalous Hall effect
- Evolution of Berry curvature and reentrant quantum anomalous Hall effect in an intrinsic magnetic topological insulator
- Disorder effect on chiral edge modes and anomalous Hall conductance in Weyl semimetals
- Demonstration of Dissipative Quasihelical Edge Transport in Quantum Anomalous Hall Insulators
- Influences of the dissipative topological edge state on quantized transport in MnBi2Te4
- Magnetic topological transistor exploiting layer-selective transport