Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells

Abstract

We study the disorder effect on the transport properties in the HgTe/CdTe semiconductor quantum wells. We confirm that at a moderate disorder strength, the initially un-quantized two terminal conductance becomes quantized, and the system makes a transition to the novel topological Anderson insulator (TAI). Conductances calculated for the stripe and cylinder samples reveal the topological feature of TAI and supports the idea that the helical edge states may cause the anomalous quantized plateaus. The influence of disorder is studied by calculating the distributions of local currents. Base on the above-mentioned picture, the phenomena induced by disorder in the quantum spin Hall region and TAI region are directly explained. Our study of the local current configurations shed further light on the mechanism of the anomalous plateau.

7 pages, 6 figures

References in corpus (19)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators in Three Dimensions
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Anderson Transitions
• The Quantum Spin Hall Effect: Theory and Experiment
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Topological Anderson Insulator
• Nondissipative Spin Hall Effect via Quantized Edge Transport
• Imaging mesoscopic spin Hall flow: Spatial distribution of local spin currents and spin densities in and out of multiterminal spin-orbit coupled semiconductor nanostructures
• Localization in a quantum spin Hall system
• Topological insulator: a new quantized spin Hall resistance robust to dephasing
• Quantum Blockades and Loop Currents in Graphene with Topological Defects
• Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions
• Coherent Oscillations and Giant Edge Magnetoresistance in Singly Connected Topological Insulators
• Spin-Current-Induced Charge Accumulation and Electric Current in Semiconductor Nanostructures with Rashba Spin-Orbit Coupling

Cited by in corpus (175)

• Topological insulators and superconductors
• Non-Hermitian Physics
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Effective continuous model for surface states and thin films of three dimensional topological insulators
• Observation of the topological Anderson insulator in disordered atomic wires
• Topological quantum matter with cold atoms
• Experimental Observation of Higher-Order Topological Anderson Insulators
• Topological Anderson Insulator in Three Dimensions
• Two-dimensional surface charge transport in topological insulators
• Quantum anomalous Hall effect with tunable Chern number in magnetic topological insulator film
• Disorder and metal-insulator transitions in Weyl semimetals
• Disordered Topological Insulators: A Non-Commutative Geometry Perspective
• Topological Phase Transitions in Disordered Electric Quadrupole Insulators
• Non-Hermitian Topological Anderson Insulators
• Topological insulator and the Dirac equation
• Stabilizing topological phases in graphene via random adsorption
• Topological Anderson insulator phenomena
• The dependence of topological Anderson insulator on the type of disorder
• Higher-order Topological Anderson Insulators
• Observation of Anderson localization in ultrathin films of three-dimensional topological insulators
• AIII and BDI Topological Systems at Strong Disorder
• A controllable valley polarization in Graphene
• Topological Anderson Insulator in electric circuits
• Observation of topological phase with critical localization in a quasi-periodic lattice
• Three-dimensional phase diagram of disordered HgTe/CdTe Quantum spin-Hall wells
• Localization and Mobility Gap in Topological Anderson Insulator
• 3D Quantum Hall Effect Manipulated by Chiral Landau Levels in Weyl Semimetals
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Chern insulator in a hyperbolic lattice
• Quantum spin Hall effect induced by electric field in silicene
• Quantum Spin-Valley Hall Kink States: From Concept to Materials Design
• Disorder-Induced Multiple Transition involving Z2 Topological Insulator
• Disorder-induced metal-insulator transitions in three-dimensional topological insulators and superconductors
• One-dimensional quantum channel in a graphene line defect
• Topological Anderson insulator phase in a quasicrystal lattice
• Topological Insulator in the Presence of Spatially Correlated Disorder
• The topological Anderson insulator phase in the Kane-Mele model
• Disorder-induced topological phase transition in a 1D mechanical system
• Quantum Anomalous Layer Hall Effect in the Topological Magnet MnBi2Te4
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• The edge engineering of topological Bi(111) bilayer
• Effect of Strong Disorder in a 3-Dimensional Topological Insulator: Phase Diagram and Maps of the Z2 Invariant
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Disorder-induced Majorana zero modes in a dimerized Kitaev superconductor chain
• Interplay between topology and disorder in a two-dimensional semi-Dirac material
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• Phase Structure of the Topological Anderson Insulator
• Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Higher-order topological Anderson insulators in quasicrystals
• Topological Anderson phase in quasi-periodic waveguide lattices
• Topological invariant in three-dimensional band insulators with disorder
• Quantum spin Hall effect induced by non-magnetic and magnetic staggered potentials
• Quantum Andreev effect in 2D HgTe/CdTe quantum well-superconductor systems
• Topological phase transition in the quasiperiodic disordered Su-Schriffer-Heeger chain
• Disorder-induced topological phase transitions on Lieb lattices
• Z2 phase diagram of three-dimensional disordered topological insulator via scattering matrix approach
• Topological Anderson insulators induced by random binary disorders
• Transition from metal to higher-order topological insulator driven by random flux
• Disorder Induced Phase Transitions of Type-II Weyl Semimetal
• Transport and localization in a topological phononic lattice with correlated disorder
• Topological Anderson insulator phase in a Dirac-semimetal thin film
• Quantum interference in topological insulator Josephson junctions
• Topological entanglement properties of disconnected partitions in the Su-Schrieffer-Heeger model
• Light-induced phase crossovers in a quantum spin Hall system
• Evolutions of helical edge states in disordered HgTe/CdTe quantum wells
• Quantized Topological Anderson-Thouless Pump
• Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits
• Bulk-boundary correspondence in disordered higher-order topological insulators
• The New Phase due to Symmetry Protected Piecewise Berry Phases; Enhanced Pumping and Non-reciprocity in Trimer Lattices
• The Wannier Function Software Ecosystem for Materials Simulations
• Quantum criticality at the Chern-to-normal insulator transition
• Chiral Interface States and Related Quantized Transport in Disordered Chern Insulators
• Anderson Topological Superconductor
• Transport discovery of emerging robust helical surface states in $Z_2=0$ systems
• Disordered Chern insulator with a two step Floquet drive
• Topological Anderson Insulators in Systems without Time-Reversal Symmetry
• Effect of Strong Disorder on 3-Dimensional Chiral Topological Insulators: Phase Diagrams, Maps of the Bulk Invariant and Existence of Topological Extended Bulk States
• Size Effects on Transport Properties in Topological Anderson Insulators
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Topological Anderson amorphous insulator
• Half-Quantized Helical Hinge Currents in Axion Insulators
• Interplay of interactions, disorder and topology in the Haldane-Hubbard model
• Algebraic and Geometric Mean Density of States in Topological Anderson Insulators
• Robust topological insulator surface conduction under strong surface disorder
• Noise signatures for determining chiral Majorana fermion modes
• Chemical disorder as engineering tool for spin-polarizationin Mn3Ga-based Heusler systems
• Disorder effects in correlated topological insulators
• Positive Magneto-conductivity of Weyl Semimetals in the Ultra-quantum Limit
• Perfect valley filter based on topological phase in disordered $\mathrm{Sb}$ Monolayer Heterostructure
• Bulk-edge correspondence, spectral flow and Atiyah-Patodi-Singer theorem for the Z2-invariant in topological insulators
• The effect of in-plane magnetic field and applied strain in quantum spin Hall systems: application to InAs/GaSb quantum wells
• The noncommutative Kubo Formula: Applications to Transport in Disordered Topological Insulators with and without Magnetic Fields
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Spin-dependent electron transport along hairpin-like DNA molecules
• Global Phase Diagram of Disordered Type-II Weyl Semimetals
• Effect of magnetic field on a magnetic topological insulator film with structural inversion asymmetry
• Phase diagrams of Weyl semimetals with competing intraorbital and interorbital disorders
• Quantum Anomalous Parity Hall Effect in Magnetically Disordered Topological Insulator Films
• Phase transitions and scale invariance in topological Anderson insulators
• The Coexistence and Decoupling of Bulk and Edge States in Disordered Two-dimensional Topological Insulators
• Emergent Energy Dissipation in Quantum Limit
• Anisotropic three-dimensional quantum Hall effect and magnetotransport in mesoscopic Weyl semimetals
• Volkov-Pankratov states in topological graphene nanoribbons
• Percolating States in the Topological Anderson Insulator
• Spin fluctuations in quantized transport of magnetic topological insulators
• Stability of topological properties of bismuth (111) bilayer
• Finite Size Effect in the Quantum Anomalous Hall system
• Floquet topological transitions in extended Kane-Mele models with disorder
• Anatomy of topological Anderson transitions
• Observation of disorder-induced boundary localization
• Conductance fluctuations in disordered 2D topological insulator wires: From quantum spin-Hall to ordinary quantum phases
• Interplay of Altermagnetic Order and Wilson Mass in the Dirac Equation: Helical Edge States without Time-Reversal Symmetry
• Living on the edge: Topology, electrostatics and disorder
• Weak quantization of non-interacting topological Anderson insulator
• Quantum Anomalous Hall Effect in Ferromagnetic Metals
• Coherent Single Spin Source based on topological insulator
• Localized Andreev edge states in HgTe quantum wells
• All-electric spin transistor based on a side-gate-modulated two-dimensional topological insulator
• Topological Phase Transitions Induced by Disorder in Magnetically Doped (Bi, Sb)${}_2$Te${}_3$ Thin Films
• Transport study of the wormhole effect in three-dimensional topological insulators
• Effects of disorder on electron tunneling through helical edge states
• Floating Edge Bands in the Bernevig-Hughes-Zhang model with Altermagnetism
• Microwave absorption in a 2D topological insulators with a developed network of edge states
• Localized States and Quantum Spin Hall Effect in Si-Doped InAs/GaSb Quantum Wells
• From topological phase to Anderson localization in a two-dimensional quasiperiodic system
• Numerical study of the giant nonlocal resistance in spin-orbital coupled graphene
• Disordered topological metals
• Topological phase transition in disordered elastic quantum spin Hall system
• Numerical study of the negative nonlocal resistance and the backflow current in a ballistic graphene system
• Disorder-induced topology in quench dynamics
• Disorder-induced phase transitions in double Weyl semimetals
• Building topological device through emerging robust helical surface states
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Aharonov-Bohm effect in a helical ring with long-range hopping: Effects of Rashba spin-orbit interaction and disorder
• Nonlocal transport in a hybrid two-dimensional topological insulator
• Emergent $Z_2$ Topological Invariant and Robust Helical Edge States in Two-Dimensional Topological Metals
• Localization and topological transitions in generalized non-Hermitian SSH models
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Quantum Transports in Two-Dimensions with Long Range Hopping: Shielding, Localization and the Extended Isolated State
• Dissipative Edge Transport in Disordered Axion Insulator Films
• Physical Origin of Current Partition at a Topological Trifurcation
• Chiral edge state coupling theory of transport in quantum anomalous Hall insulators
• Charged particle in a flat box with static electromagnetic field and Landau's levels
• Arrays of one-dimensional conducting channels in minimally twisted bilayer graphene
• Anomalous quantum Hall effect induced by disorder in topological insulators
• Edge mode locality in perturbed symmetry protected topological order
• Experimental Determination of Electronic States via Digitized Shortcut-to-Adiabaticity and Sequential Digitized Adiabaticity
• Random-Flux-Induced Transition Sequence between Weak and Strong Topological Phases with Anisotropic Localization Properties
• Topological phases of amorphous matter
• Topological Anderson insulator phases in one dimensional quasi-periodic mechanical SSH chains
• A Guide to the Bott Index and Localizer Index
• Topology of ultra-localized insulators and superconductors
• Direct visualization of edge state in even-layer MnBi2Te4 at zero magnetic field
• Local heat current flow in ballistic phonon transport of graphene nanoribbons
• Disorder and quantum transport of the helical quantum Hall phase in graphene
• Spin separation and filtering assisted by topological corner states in the Kekulé lattice
• Transport through Quantum Anomalous Hall Bilayers with Lattice Mismatch
• Layer-Resolved Quantum Transport in Twisted Bilayer Graphene: Counterflow and Machine Learning Predictions
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Recent progress on disorder-induced topological phases
• Disorder driven topological phase transitions in 1D mechanical quasicrystals
• Acoustic topological Anderson insulators
• Thermal dissipation of the quantum spin Hall edge states in HgTe/CdTe quantum well
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Non-self-averaging topological Anderson insulator
• Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Topological transition induced by selective random defects on a honeycomb lattice
• Unveiling In-Gap States and Majorana Zero Modes in Superconductor-Topological Insulator Bilayer model
• Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal
• Fate of a multiple-band Fermi liquid that is coupled with critical ${\varphi }^4$ bosons
• Anomalous Non-Hermitian Topological Anderson Insulator
• Disorder averaging in random lattice models with periodic boundary conditions: Application to models with uncorrelated and correlated disorder