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 (63)
- Anomalous Hall effect
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Quantized Anomalous Hall Effect in Magnetic Topological Insulators
- Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
- Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
- Crossover of Three-Dimensional Topological Insulator of Bi2Se3 to the Two-Dimensional Limit
- High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
- Model Hamiltonian for Topological Insulators
- 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
- Massive Dirac fermions and spin physics in an ultrathin film of topological insulator
- Quantum anomalous Hall effect from intertwined moiré bands
- Oscillatory crossover from two dimensional to three dimensional topological insulators
- Colloquium: Quantum anomalous Hall effect
- Finite size effects of helical edge states in HgTe/CdTe quantum wells
- Effective continuous model for surface states and thin films of three dimensional topological insulators
- Realization of the Axion Insulator State in Quantum Anomalous Hall Sandwich Heterostructures
- Anomalous Finite Size Effects on Surface States in the Topological Insulator BiSe
- Precise quantization of anomalous Hall effect near zero magnetic field
- Electrical switching of magnetic order in an orbital Chern insulator
- Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
- Electric Field-Tuned Topological Phase Transition in Ultra-Thin Na3Bi - Towards a Topological Transistor
- Tailoring tricolor structure of magnetic topological insulator for robust axion insulator
- Quantum Anomalous Hall Effect with Higher Plateaus
- Tuning Chern Number in Quantum Anomalous Hall Insulators
- Observation of the quantum Hall effect in confined films of the three-dimensional Dirac semimetal Cd3As2
- Quantum anomalous Hall effect with tunable Chern number in magnetic topological insulator film
- In-plane Magnetization Induced Quantum Anomalous Hall Effect
- Chern Number Tunable Quantum Anomalous Hall Effect in Monolayer Transitional Metal Oxides via Manipulating Magnetization Orientation
- Observation of the zero Hall plateau in a quantum anomalous Hall insulator
- High-Temperature Quantum Anomalous Hall Effect in n-p Codoped Topological Insulators
- Part-per-million quantization and current-induced breakdown of the quantum anomalous Hall effect
- Concurrence of Quantum Anomalous Hall and Topological Hall Effects in Magnetic Topological Insulator Sandwich Heterostructures
- Anomalous Edge Transport in the Quantum Anomalous Hall State
- Green's function technique for studying electron flow in 2D mesoscopic samples
- Electric control of topological phase transitions in Dirac semimetal thin films
- Scaling of the Quantum Anomalous Hall Effect as an Indicator of Axion Electrodynamics
- Direct evidence of ferromagnetism in a quantum anomalous Hall system
- Electrically Tunable Magnetism in Magnetic Topological Insulators
- Quantum Transport in Magnetic Topological Insulator Thin Films
- Topological Spin Texture in a Quantum Anomalous Hall Insulator
- Observation of the quantum-anomalous-Hall insulator to Anderson insulator quantum phase transition and its scaling behavior
- Axion optical induction of antiferromagnetic order
- Antiferromagnetic Chern insulators in non-centrosymmetric systems
- Finite-size energy gap in weak and strong topological insulators
- Quantum Anomalous Layer Hall Effect in the Topological Magnet MnBi2Te4
- Effects of Domain Walls in Quantum Anomalous Hall Insulator/Superconductor Heterostructures
- 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
- Topological Anderson insulator phase in a Dirac-semimetal thin film
- 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
- Transport discovery of emerging robust helical surface states in systems
- 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
- Spin fluctuations in quantized transport of magnetic topological insulators
- Magnetic topological transistor exploiting layer-selective transport