Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors

Abstract

We propose models of two dimensional paramagnetic semiconductors where the intrinsic spin Hall effect is exactly quantized in integer units of a topological charge. The model describes a topological insulator in the bulk, and a "holographic metal" at the edge, where the number of extended edge states crossing the Fermi level is dictated by (exactly equal to) the bulk topological charge. We also demonstrate the spin Hall effect explicitly in terms of the spin accumulation caused by the adiabatic flux insertion.

the expanded version published on Phys. Rev. B

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Cited by in corpus (512)

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• Electronic polarization in non-Bloch band theory
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• Electrostatic effects of the MnBi2Te4-superconductor hetero-structures in chiral Majorana search
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• Topological spin-orbit-coupled fermions beyond rotating wave approximation
• Anomalous quantum Hall effect induced by disorder in topological insulators
• Helical Fermi Arc in Altermagnetic Weyl Semimetal
• Zener tunneling isospin Hall effect in HgTe quantum wells and graphene multilayers
• Quantum geometric tensor and the topological characterization of the extended Su-Schrieffer-Heeger model
• Hyperbolic fringe signal for twin impurity quasiparticle interference
• Dynamical precession of spin in the two-dimensional spin-orbit coupled systems
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• Dual topological insulator with mirror symmetry protected helical edge states
• Chern insulator in a ferromagnetic two-dimensional electron system with Dresselhaus spin-orbit coupling
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• Introduction to Topological Phases and Electronic Interactions in (2+1) Dimensions
• Refined Majorana phase diagram in topological insulator-superconductor hybrid system
• Topological insulators on fractal lattices: A general principle of construction
• Quantized electrical, thermal, and spin transports of non-Hermitian clean and dirty two-dimensional topological insulators and superconductors
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• Creating high-dimensional topological physics using a single ring resonator
• Topological zero-modes of the spectral localizer of trivial metals
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• Spontaneous emission of a quantum emitter near a Chern insulator: interplay of time reversal symmetry breaking and van Hove singularity
• Constructing vortex functions and basis states of Chern insulators: ideal condition, inequality from index theorem, and coherent-like states on von Neumann lattice
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• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
• Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions
• Interacting Chern Insulator in Infinite Spatial Dimensions
• Quantum geometric bounds in spinful systems with trivial band topology
• Type-II topological phase transitions of topological skyrmion phases
• Quantized thermal and spin transports of dirty planar topological superconductors
• Tunable Majorana corner states driven by superconducting phase bias in a vertical Josephson junction
• Chiral Surface Modes in Three-Dimensional Topological Insulators
• Quantum spin Hall insulator on the honeycomb lattice induced by ferromagnetic exchange interaction
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• Resonant laser excitation and time-domain imaging of chiral topological polariton edge states
• Hybrid symmetry class topological insulators
• A Mean-Field Study of Quantum Oscillations in Two-Dimensional Kondo Insulators
• Exciton Condensation in Landau Levels of Quantum Spin Hall Insulators
• Semi-localization transition driven by a single asymmetrical tunneling
• Simulating a Chern Insulator with C = $\pm$2 on Synthetic Floquet Lattice
• Dynamic melting and condensation of topological dislocation modes
• Single-shot measurement of photonic topological invariant
• Klein tunneling of the electronic states in the gate voltage modulated skyrmion crystal
• An elementary proof and detailed investigation of the bulk-boundary correspondence in the generic two-band model of Chern insulators
• Discrete Quantum Geometry and Intrinsic Spin Hall Effect
• Detecting winding and Chern numbers in topological matter using spectral function
• Light-induced Nonlinear Spin Hall Current in Single-layer WTe${}_2$
• Cold atoms meet lattice gauge theory
• Density-Dependent Gauge Field with Raman Lattices
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- part II: Higher-dimensional spectral invariants
• Family of Aperiodic Tilings with Tunable Quantum Geometric Tensor
• Tunable corner states in topological insulators with long-range hoppings and diverse shapes
• Dynamical characterization of topological phases beyond the minimal models
• Reentrant quantum spin Hall effect in the presence of an exchange field
• Topological Superconductor from the Quantum Hall Phase: Effective Field Theory Description
• Field Theoretic Aspects of Condensed Matter Physics: An Overview
• Topological Burning Glass Effect
• Dynamical detection of mean-field topological phases in an interacting Chern insulator
• Concurrence of topological electrons and magnons in the Kagome ferromagnet CoCu3(OH)6Cl2
• Effects of GaAs buffer layer on quantum anomalous Hall insulator Vy(BixSb1-x)2-yTe3
• Effective Conformal Field Theory generated from Pure and Dephased Chern insulator
• Superconductivity in doped planar Dirac insulators: A renormalization group study
• Exceptional mode topological surface laser
• Dispersive nodal fermions along grain boundaries in Floquet topological crystals
• Casimir-Polder interaction between an atom and a Chern insulator: topological signature and long-range repulsion
• Boundary topological insulators and superconductors of Altland-Zirnbauer tenfold classes
• Hard wall edge confinement in 2D topological insulators and the energy of the Dirac Point
• Tunable plasmon modes and topological transitions in single- and bilayer semi-Dirac materials
• Robust nonequilibrium edge currents with and without band topology
• Valley Gapless Semiconductor: Models and Applications
• Topological defect-mediated corner states and higher-order bulk topology in a two-dimensional crystalline insulator
• Band topology of pseudo-Hermitian phases through tensor Berry connections and quantum metric
• Emergent fractals in dirty topological crystals
• Dirac fermions in Fe ultra-thin film
• Quantum anomalous Hall conductivity in altermagnets under applied magnetic field
• Engineering Two-Dimensional Hybrid-Order Topological Insulators via Trilayer Coupling
• Gapless Edge-Modes and Topology in the Qi-Wu-Zhang Model: A Real-Space Analysis
• Spin and electric currents induced by a spin-motive force in two-dimensional Dirac semimetals protected by nonsymmorphic symmetries
• Local topological phase transitions in periodic condensed matter systems
• Pairing around a Single Dirac Point: A Unifying View of Kohn-Luttinger Superconductivity in Chern Bands, Quarter Metals, and Topological Surface States
• Observable-enriched entanglement
• Electronic structures and stability investigation of the new class of large band gap topological insulators MTl${}_4$Te${}_3$ (M = Cd, Hg)
• Spin-orbit torque switching of Néel order in band-inverted antiferromagnetic bilayer MnBi${}_2$Te${}_4$
• Quasi-local Frustration-Free Free Fermions
• Nature of the Topological Transition of the Kitaev Model in [111] Magnetic Field
• Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes
• Parity Anomaly of Lattice Maxwell Fermions in Two Spatial Dimensions
• Hyperfine Structure of Quantum Entanglement
• Majorana Flat Bands in the Vortex Line of Superconducting Weyl Semimetals
• Topological Phase Transition in Superconductors with Mirror Symmetry
• Disclinations, dislocations, and emanant flux at Dirac criticality
• A Coherent Physics Picture of Topological Insulators at Single-Particle Level
• Emergent Weyl-like points in periodically modulated systems
• Higher-order Topological Knots and the classification of non-Hermitian lattices under $C_n$ symmetry
• Low-energy effective Hamiltonian and end states of an inverted HgTe nanowire
• First and second-order metal-insulator phase transitions and topological aspects of a Hubbard-Rashba system
• Topological phase transition based on the attractive Hubbard model
• The geometric and topological interpretation of Berry phase on a torus
• On the quantization of AB phase in nonlinear systems
• Quantum theory for edge current and noise in two-dimensional topological superconductors
• Spatiotemporal chaos in the interface growth of topological insulators
• Evolution of quantum geometric tensor of 1D periodic systems after a quench
• Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder
• Quantum anomalous Hall effect in chiral semimetals
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• Topological invariant of multilayer Haldane models with irregular stackings
• Tensor network states for the description of quantum many-body systems
• Biot-Savart law in quantum matter
• Phase Transition of Topological Index driven by Dephasing
• Effects of GaAs Buffer Layer on Structural, Magnetic, and Transport Properties of Magnetic Topological Insulators Cr${}_y$(Bi${}_x$Sb${}_{1-x}$)${}_{2-y}$Te${}_3$ and V${}_y$(Bi${}_x$Sb${}_{1-x}$)${}_{2-y}$Te${}_3$ Films
• Topological properties of domain walls in antiferromagnetic topological insulators
• Detecting ground-state degeneracy in many-body systems through qubit decoherence
• Effect of extended confinement on the structure of edge channels in the quantum anomalous Hall effect
• Flux attachment theory of fractional excitonic insulators
• From orthogonal link to phase vortex in generalized dynamical Hopf insulators
• Symmetry-protected topological wire in a topological vacuum
• Floquet-Engineered Valley-Topotronics in Kekulé-Y Bond Textured Graphene Superlattice
• Analytic density of states of two-dimensional Chern insulator
• To See a World in a Grain of Sand -- The Scientific Life of Shoucheng Zhang
• Comparison of finite-temperature topological indicators based on Uhlmann connection
• Topological superfluids in two-dimensional Fermi gas with Rashba spin-orbit coupling
• Vortical Quantum Memory
• Coupled-wire construction of non-Abelian higher-order topological phases
• Band Topology or Geometry?
• Quantized single-particle Thouless pump induced by topology transfer from a Chern insulator at finite temperature
• Multiplicative Chern insulator
• Hall conductance of a non-Hermitian two-band system with k-dependent decay rates
• Exact solutions for topological surface states of three-dimensional lattice models
• Spatial coupling of quantum-anomalous-Hall and chiral-Majorana modes
• Localization and entanglement characterization of edge states in HgTe quantum wells in a finite strip geometry
• Winding vectors of topological defects: Multiband Chern numbers
• Pseudospin Berry phase as a signature of nontrivial band topology in a two-dimensional system
• Exact Mappings in Condensed Matter Physics
• Signatures of topological phase transitions in the s-wave superconductor at finite temperature
• Real-space formulation of the Chern invariant and topological phases in a disordered Chern insulator
• Quasiparticle tunnelling in two coupled chiral SYK model
• Dephasing-induced Quantum Hall Criticality in the Quantum Anomalous Hall system