Symmetry Enforced Chiral Hinge States and Surface Quantum Anomalous Hall Effect in Magnetic Axion Insulator ${\text{Bi}}_{2-x}{\text{Sm}}_x{\text{Se}}_3$

Abstract

A universal mechanism to generate chiral hinge states in the ferromagnetic axion insulator phase is proposed, which leads to an exotic transport phenomena, the quantum anomalous Hall effect (QAHE) on some particular surfaces determined by both the crystalline symmetry and the magnetization direction. A realistic material system Sm doped ${\text{Bi}}_2{\text{Se}}_3$ is then proposed to realize such exotic hinge states by combing the first principle calculations and the Green's function techniques. A physically accessible way to manipulate the surface QAHE is also proposed, which makes it very different from the QAHE in ordinary 2D systems.

arXiv comment8 pages, 5 figures

References in corpus (38)

• Topological Insulators
• Topological insulators and superconductors
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Topological Crystalline Insulators
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Topological quantum chemistry
• Topological Crystalline Insulators in the SnTe Material Class
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
• Higher-Order Topology in Bismuth
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
• Large bulk resistivity and surface quantum oscillations in the topological insulator Bi2Te2Se
• Antiferromagnetic topological insulators
• Inversion Symmetric Topological Insulators
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Wannier representation of Z_2 topological insulators
• Hourglass Fermions
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator
• Quantitative mappings between symmetry and topology in solids
• Higher-order bulk-boundary correspondence for topological crystalline phases
• Symmetry indicators and anomalous surface states of topological crystalline insulators
• Quantized Response and Topology of Insulators with Inversion Symmetry
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Building crystalline topological phases from lower-dimensional states
• Magnetic second-order topological insulators and semimetals
• Spin fluctuations in LiFeAs observed by neutron scattering
• Higher order symmetry-protected topological states for interacting bosons and fermions
• Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials
• Topological crystalline insulator states in the Ca${}_2$As family

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• Symmetry representation approach to topological invariants in $C_{2z}T$-symmetric systems
• Topological phase transition in layered magnetic compound MnSb2Te4: Spin-orbit coupling and interlayer coupling dependeces
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• Spectral signatures of the surface anomalous Hall effect in magnetic axion insulators
• Second Order Topological Insulator State in Hexagonal Lattices and its Abundant Material Candidates
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• Quadrupole topological insulators in Ta2M3Te5 (M= Ni, Pd) monolayers
• Temperature Dependent Electronic Structure in a Higher Order Topological Insulator Candidate EuIn${}_2$As${}_2$
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• Dynamical axion state with hidden pseudospin Chern numbers in MnBi${}_2$Te${}_4$-based heterostructures
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• Pfaffian formalism for higher-order topological insulators
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Higher-order topological superconductors based on weak topological insulators
• A Higher-Order Topological Insulator Phase in a Modulated Haldane Model
• Topological electronic structure and spin texture of quasi-one-dimensional higher-order topological insulator Bi4Br4
• Delocalization Transition of Disordered Axion Insulator
• Coulomb instabilities of 3D higher-order topological insulators
• Higher-order Fabry-Pérot Interferometer from Topological Hinge States
• Buckled honeycomb group-$V$--$S_6$ symmetric $(d-2)$ higher order topological insulators
• Axion Insulator State with ferromagnetic ordering in CrI3/Bi2Se3/MnBi2Se4 Heterostructure
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• The Bulk-Hinge Correspondence and Three-Dimensional Quantum Anomalous Hall Effect in Second Order Topological Insulators
• Robustness of Helical Hinge States of Weak Second-Order Topological Insulators
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• Second-Order Topological Insulator in van der Waals Heterostructures of CoBr${}_2$/Pt${}_2$HgSe${}_3$/CoBr${}_2$
• Generalization of Benalcazar-Bernevig-Hughes model to arbitrary dimensions
• High spin axion insulator
• Dirac cones and higher-order topology in quasi-continuous media
• Orbital shift-induced boundary obstructed topological materials with a large energy gap
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• Topological Magnetoelectric Response in Ferromagnetic Axion Insulators
• Stable Higher-Order Topological Dirac Semimetals with ${\mathbb{Z}}_2$ Monopole Charge in Alternating-twisted Multilayer Graphenes and beyond
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• Surface state evolution induced by magnetic order in axion insulator candidate EuIn2As2
• Hybrid-order topology in unconventional magnets of Eu-based Zintl compounds with surface-dependent quantum geometry
• Hermitian chiral boundary states in non-Hermitian topological insulators
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Quasi-One-Dimensional Higher-Order Topological Insulators
• Green's Function Approach to Interacting Higher-order Topological Insulators
• Topology and Magnetism in the Kondo Insulator Phase Diagram
• Higher-order topological insulators in a crisscross antiferromagnetic model
• Majorana corner modes and flat-band Majorana edge modes in superconductor/topological-insulator/superconductor junctions
• Higher-order topology in twisted multilayer systems: a review
• Axion mass in antiferromagnetic insulators
• Hierarchical Topological States in Thermal Diffusive Networks
• Kitaev Building-block Construction for Inversion-Protected Higher-order Topological Superconductors
• Chiral Hinge Transport in Disordered Non-Hermitian Second-Order Topological Insulators
• Optical Berry Curvature of Hinge State and Its Detection
• Axion insulator, Weyl points, quantum anomalous Hall effect and magnetic topological phase transition in Eu3In2As4
• Ultrafast photoinduced phase transition in the antiferromagnetic Dirac semimetal EuAgAs
• Tunable corner states in topological insulators with long-range hoppings and diverse shapes
• Experimental realization of Majorana hinge and corner modes in intrinsic organic topological superconductor without magnetic field at room temperature
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• Intrinsic higher-order topological states in 2D honeycomb Z_2 quantum spin Hall insulators
• Tunable cornerlike states in topological type-II hyperbolic lattices
• Graphyne as a second-order and real Chern topological insulator in two dimensions
• Majorana vortex phases in time-reversal invariant higher-order topological insulators and topologically trivial insulators
• Surface density-of-states on semi-infinite topological photonic and acoustic crystals