Quantum Anomalous Hall Effect in Magnetic Doped Topological Insulators and Ferromagnetic Spin-Gapless Semiconductors -- A Perspective Review

Abstract

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After Haldane seminal proposal, several models have been presented to control/enhance the spin-orbit coupling and intrinsic magnetic exchange interaction. After brief introduction of Haldane model for spineless fermions, following three fundamental quantum anomalous Hall models are discussed in this perspective review: (i) low-energy effective four band model for magnetic-doped topological insulator (Bi,Sb)2Te3 thin films, (ii) four band tight-binding model for graphene with magnetic adatoms, and (iii) two (three) band spinfull tight-binding model for ferromagnetic spin-gapless semiconductors with honeycomb (kagome) lattice where ground state is intrinsically ferromagnetic. These models cover two-dimensional Dirac materials hosting spinless, spinful and spin-degenerate Dirac points where various mass terms open a band gap and lead to quantum anomalous Hall effect. With emphasize on the topological phase transition driven by ferromagnetic exchange interaction and its interplay with spin-orbit-coupling, we discuss various symmetry constraints on the nature of mass term and the materialization of these models. We hope this study will shed light on the fundamental theoretical perspectives of quantum anomalous Hall materials.

References in corpus (70)

• Van der Waals heterostructures
• Quantum Spin Hall Effect in Graphene
• 2D materials and van der Waals heterostructures
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
• Berry Phase Effects on Electronic Properties
• Discovery of intrinsic ferromagnetism in 2D van der Waals crystals
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Gate-tunable Room-temperature Ferromagnetism in Two-dimensional Fe${}_3$GeTe${}_2$
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Two-dimensional materials from high-throughput computational exfoliation of experimentally known compounds
• Mixed-Dimensional van der Waals Heterostructures
• Two-Dimensional Itinerant Ising Ferromagnetism in Atomically thin Fe3GeTe2
• Electrical Control of 2D Magnetism in Bilayer CrI3
• Controlling magnetism in 2D CrI3 by electrostatic doping
• Massive Dirac fermions in a ferromagnetic kagome metal
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Room Temperature Intrinsic Ferromagnetism in Epitaxial Manganese Selenide Films in the Monolayer Limit
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Electric-field control of magnetism in few-layered van der Waals magnet
• Magnetic impurities on the surface of a topological insulator
• Topological insulator on the kagome lattice
• Oscillatory crossover from two dimensional to three dimensional topological insulators
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Quantum anomalous Hall effect and related topological electronic states
• Quantum Anomalous Hall Effect in Graphene Proximity Coupled to an Antiferromagnetic Insulator
• Effective continuous model for surface states and thin films of three dimensional topological insulators
• Quantum Anomalous Hall Effect in 2D Organic Topological Insulators
• Precise quantization of anomalous Hall effect near zero magnetic field
• Electrically tunable quantum anomalous Hall effect in 5d transition-metal adatoms on graphene
• Prediction of Near-Room-Temperature Quantum Anomalous Hall Effect on Honeycomb Materials
• Intrinsic Quantum Anomalous Hall Effect in the Kagome Lattice Cs2LiMn3F12
• Quantum Anomalous Hall Effect in Single-layer and Bilayer Graphene
• Highly-ordered wide bandgap materials for quantized anomalous Hall and magnetoelectric effects
• Electronic structure and magnetism of transition metal dihalides: bulk to monolayer
• Quantum Anomalous Hall Effect with Higher Plateaus
• Strong magnetization and Chern insulators in compressed graphene/CrI${}_3$ van der Waals heterostructures
• Microscopic theory of quantum anomalous Hall effect in graphene
• Quantum anomalous Hall effect with tunable Chern number in magnetic topological insulator film
• NiCl3 Monolayer: Dirac Spin-Gapless Semiconductor and Chern Insulator
• Large-gap magnetic topological heterostructure formed by subsurface incorporation of a ferromagnetic layer
• Quantum anomalous Hall effect in ferromagnetic transition metal halides
• Long Range Intrinsic Ferromagnetism in Two Dimensional Materials and Dissipationless Future Technologies
• Independent tuning of electronic properties and induced ferromagnetism in topological insulators with heterostructure approach
• Large anomalous Hall effect in ferromagnetic insulator-topological insulator heterostructures
• Correlation-driven topological phase transition from in-plane magnetized quantum anomalous Hall to Mott insulating phase in monolayer transition metal trichlorides
• Introduction to Dirac materials and topological insulators
• Chern insulators from heavy atoms on magnetic substrates
• Quantum Anomalous Hall Effect in Time-Reversal-Symmetry Breaking Topological Insulators
• Dirac spin gapless semiconductors: Ideal platforms for massless and dissipationless spintronics and new (quantum) anomalous spin Hall effects
• Emergence of a Chern-insulating state from a semi-Dirac dispersion
• Emergent topological and half semimetallic Dirac Fermions at oxide interfaces
• Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems
• Quantum Anomalous Hall Effect in Magnetically Doped InAs/GaSb Quantum Wells
• Prediction of High Temperature Quantum Anomalous Hall Effect in Two Dimensional Transition-Metal Oxides
• Electrically Tunable Topological State in [111] Perovskite Materials with Antiferromagnetic Exchange Field
• Simulating and Detecting the Quantum Spin Hall Effect in Kagomé Optical Lattice
• Quantum Anomalous Hall Effect in Magnetic Insulator Heterostructure
• Quantum Anomalous Hall State in Ferromagnetic SrRuO${}_3$ (111) Bilayers
• Intrinsic ferromagnetism and quantum anomalous Hall effect in CoBr2 monolayer
• Coupling effect of topological states and Chern insulators in two-dimensional triangular lattices
• Proximity induced quantum anomalous Hall effect in graphene/EuO hetero-structures
• Intrinsic large gap quantum anomalous Hall insulators in La$X$ ($X$=Br, Cl, I)
• Chern insulators without band inversion in MoS2 monolayers with 3d adatoms
• From frustrated magnetism to spontaneous Chern insulators
• Tuning ferromagnetic BaFe${}_2$(PO${}_4$)${}_2$ through a high Chern number topological phase

Cited by in corpus (10)

• Mn-rich MnSb2Te4: A topological insulator with magnetic gap closing at high Curie temperatures of 45-50 K
• Overcoming Boltzmann's Tyranny in a Transistor via the Topological Quantum Field Effect
• Single-Layer ScI2: A Paradigm for Valley-Related Multiple Hall Effect
• Progress and prospects in the quantum anomalous Hall effect
• Optimizing Topological Switching in Confined 2D-Xene Nanoribbons via Finite-Size Effects
• Quarter-filled Kane-Mele Hubbard model: Dirac half-metals
• Spin-Orbit Proximity Effect in Bi/Co Multilayer: The Role of Interface Scattering
• Tailoring Robust Quantum Anomalous Hall Effect via Entropy-Engineering
• Quantum anomalous Hall conductivity in altermagnets under applied magnetic field
• Exploring Structural and Electronic Properties of Topological Insulator/Graphene Nano-heterostructures