Localization in a quantum spin Hall system

Abstract

Localization problem of electronic states in a two-dimensional quantum spin Hall system (QSH - a symplectic model with a non-trivial topological structure) is studied by the transfer matrix method. The phase diagram in the plane of energy and disorder strength is exposed, and demonstrates "levitation" and "pair-annihilation" of the domains of extended states analogous to that of the integer quantum Hall system. The critical exponent $\nu$ for the divergence of the localization length is estimated as $\nu \cong 1.6$ which is distinct from both exponents pertaining to the conventional symplectic and the unitary quantum Hall systems. This strongly suggests a different universality class related to the non-trivial topology of the QSH system.

5 pages, 4 figures, REVTeX

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Cited by in corpus (110)

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• Anderson Transitions
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• Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
• Disorder-induced Floquet Topological Insulators
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• The strong side of weak topological insulators
• Correlation effects in two-dimensional topological insulators
• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
• Topology, Delocalization via Average Symmetry and the Symplectic Anderson Transition
• Quantum criticality and minimal conductivity in graphene with long-range disorder
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Disordered Topological Insulators: A Non-Commutative Geometry Perspective
• Skin effect and winding number in disordered non-Hermitian systems
• Critical exponent for the Anderson transition in the three dimensional orthogonal universality class
• Interaction-induced criticality in Z_2 topological insulators
• Topological insulator and the Dirac equation
• Topological Anderson insulator phenomena
• Non-Commutative Tools for Topological Insulators
• Topological insulators beyond the Brillouin zone via Chern parity
• AIII and BDI Topological Systems at Strong Disorder
• Trace Index and Spectral Flow in the Entanglement Spectrum
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Two-dimensional spin-filtered chiral network model for the Z_2 quantum spin-Hall effect
• Magnetoconductance of the quantum spin Hall state
• Topological Anderson Insulator in electric circuits
• Three-dimensional phase diagram of disordered HgTe/CdTe Quantum spin-Hall wells
• Coupling-Matrix Approach to the Chern Number Calculation in Disordered Systems
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• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions
• Robustness of Quantum Spin Hall Effect in an External Magnetic Field
• Coexisting of Quantum Hall and Quantum Anomalous Hall phases in Disordered $\mathrm{MnB}{\mathrm{i}}_2\mathrm{T}{\mathrm{e}}_4$
• Weak (anti-)localization in doped Z_2-topological insulator
• Anderson localization and topological transition in Chern insulators
• Effect of Strong Disorder in a 3-Dimensional Topological Insulator: Phase Diagram and Maps of the Z2 Invariant
• Anderson Localization from Berry-Curvature Interchange in Quantum Anomalous Hall System
• Quasiperiodicity, band topology, and moiré graphene
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• Disorder Effects in Topological States -- Brief Review of the Recent Developments
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• Disorder induced transitions in resonantly driven Floquet Topological Insulators
• Coherent Oscillations and Giant Edge Magnetoresistance in Singly Connected Topological Insulators
• The Global Phase Diagram of disordered Higher-order Weyl Semimetals
• Transport and localization in a topological phononic lattice with correlated disorder
• Fractionalization and topology in amorphous electronic solids
• Quantum criticality at the Chern-to-normal insulator transition
• Topologically Protected Extended States in Disordered Quantum Spin-Hall Systems without Time-Reversal Symmetry
• Bulk-boundary correspondence in disordered higher-order topological insulators
• Chiral Interface States and Related Quantized Transport in Disordered Chern Insulators
• Disordered Chern insulator with a two step Floquet drive
• Algebraic and Geometric Mean Density of States in Topological Anderson Insulators
• Robust topological insulator surface conduction under strong surface disorder
• The Z_2 network model for the quantum spin Hall effect: two-dimensional Dirac fermions, topological quantum numbers, and corner multifractality
• Topological winding properties of spin edge states in Kane-Mele graphene model
• The noncommutative Kubo Formula: Applications to Transport in Disordered Topological Insulators with and without Magnetic Fields
• Topological insulating phases from two-dimensional nodal loop semimetals
• Exactly Solvable Topological Chiral Spin Liquid with Random Exchange
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• Phase diagrams of Weyl semimetals with competing intraorbital and interorbital disorders
• Anisotropic Topological Anderson Transitions in Chiral Symmetry Classes
• Local marker for interacting topological insulators
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• Properties of A Class of Topological Phase Transition
• Anomalous Hall metals from strong disorder in class A systems on partite lattices
• Delocalization and scaling properties of low-dimensional quasiperiodic systems
• Metal--topological-insulator transition in the quantum kicked rotator with Z2 symmetry
• Anti-localization of graphene under substrate electric field
• Conductance distributions in disordered quantum spin-Hall systems
• Signature of Phase Transitions in the Disordered Quantum Spin Hall State From the Entanglement Spectrum
• Weak quantization of non-interacting topological Anderson insulator
• The scaling behavior of the insulator to plateau transition in topological band model
• Temperature-driven gapless topological insulator
• From topological phase to Anderson localization in a two-dimensional quasiperiodic system
• Transport through the network of topological channels in HgTe based quantum well
• Localized States and Quantum Spin Hall Effect in Si-Doped InAs/GaSb Quantum Wells
• Chern band insulators in magnetic field
• Topological Anderson insulating phases in the interacting Haldane model
• Universality of Anderson transition in two-dimensional systems of symplectic symmetry class
• Anderson Critical Metal Phase in Trivial States Protected by Average Magnetic Crystalline Symmetry
• DMPK Equation for the Edge Transport of Quantum Spin Hall Insulator
• Stability of dynamical topology against dynamical noise in quantum quenches
• Topologically localized insulators
• BerryEasy: A GPU enabled python package for diagnosis of nth-order and spin-resolved topology in the presence of fields and effects
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• Substrate-limited helical edge states
• Critical exponent for the quantum spin Hall transition in Z_2 network model
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• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
• Dynamics of transmission in disordered topological insulators
• Reentrant quantum spin Hall effect in the presence of an exchange field
• Kosterlitz-Thouless transition in disordered two-dimensional topological insulators
• Topology of ultra-localized insulators and superconductors
• Time delay in a disordered topological system
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• Fate of Quadratic Band Crossing under quasiperiodic modulation
• Statistic behaviors of gauge-invariance-dominated 1D chiral current random model
• Disorder-induced delocalization and reentrance in a Chern-Hopf insulator
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid
• Effects of dilution in a 2D topological magnon insulator