Finite frequency backscattering current noise at a helical edge
arXiv:2007.08245 · doi:10.1103/PhysRevB.102.125309
Abstract
Magnetic impurities with sufficient anisotropy could account for the observed strong deviation of the edge conductance of 2D topological insulators from the anticipated quantized value. In this work we consider such a helical edge coupled to dilute impurities with an arbitrary spin and a general form of the exchange matrix. We calculate the backscattering current noise at finite frequencies as a function of the temperature and applied voltage bias. We find that in addition to the Lorentzian resonance at zero frequency, the backscattering current noise features Fano-type resonances at non-zero frequencies. The widths of the resonances are controlled by the spectrum of corresponding Korringa rates. At a fixed frequency the backscattering current noise has non-monotonic behaviour as a function of the bias voltage.
12 LaTeX pages, 4 figures
References in corpus (79)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Shot Noise in Mesoscopic Conductors
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
- Nonlocal edge state transport in the quantum spin Hall state
- Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
- The Quantum Spin Hall Effect: Theory and Experiment
- Edge conduction in monolayer WTe2
- Stability of the quantum spin Hall effect: effects of interactions, disorder, and Z_2 topology
- Observation of Quantum Spin Hall States in InAs/GaSb Bilayers under Broken Time-Reversal Symmetry
- Spin polarization of the quantum spin Hall edge states
- Imaging currents in HgTe quantum wells in the quantum spin Hall regime
- Kondo effect in the helical edge liquid of the quantum spin Hall state
- Helical edge resistance introduced by charge puddles
- Inelastic electron backscattering in a generic helical edge channel
- Counting Statistics of Non-Markovian Quantum Stochastic Processes
- Helical edge and surface states in HgTe quantum wells and bulk insulators
- Direct Visualization of 2D Topological Insulator in Single-layer 1T'-WTe2
- Conductance of a helical edge liquid coupled to a magnetic impurity
- Images of edge current in InAs/GaSb quantum wells
- Edge Channel Transport in InAs/GaSb Topological Insulating Phase
- Transport in disordered two-dimensional topological insulator
- Resistance of helical edges formed in a semiconductor heterostructure
- Topologically protected quantum transport in locally exfoliated bismuth at room temperature
- Scattering matrix approach to the description of quantum electron transport
- Enhanced shot noise in resonant tunnelling via interacting localised states
- Conductivity of a generic helical liquid
- Localization at the Edge of 2D Topological Insulator by Kondo Impurities with Random Anisotropies
- Non-equilibrium Entanglement and Noise in Coupled Qubits
- Nuclear-spin-induced localization of the edge states in two-dimensional topological insulators
- Split Dirac cones in HgTe/CdTe quantum wells due to symmetry-enforced level anticrossing at interfaces
- Persistence of two-dimensional topological insulator state in wide HgTe quantum well
- Spontaneous breakdown of topological protection in two dimensions
- Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
- Magnetic field effects on edge and bulk states in topological insulators based on HgTe/CdHgTe quantum wells with strong natural interface inversion asymmetry
- Non-local transport via edge-states in InAs/GaSb coupled quantum wells
- Backscattering Between Helical Edge States via Dynamic Nuclear Polarization
- Finite-frequency counting statistics of electron transport: Markovian Theory
- Nonlocal resistance and its fluctuations in microstructures of band-inverted HgTe/(Hg,Cd)Te quantum wells
- Mesoscopic fluctuations of conductance of a helical edge contaminated by magnetic impurities
- Magnetic moments in a helical edge can make weak correlations seem strong
- Edge transport in InAs and InAs/GaSb quantum wells
- Gate-controlled semimetal-topological insulator transition in an InAs/GaSb heterostructure
- Noise-induced backscattering in a quantum-spin-Hall edge
- Spin-orbit splitting of valence and conduction bands in HgTe quantum wells near the Dirac point
- Two-dimensional semimetal in a wide HgTe quantum well: magnetotransport and energy spectrum
- Backscattering in helical edge states from a magnetic impurity and Rashba disorder
- Indirect exchange interaction between magnetic impurities near the helical edge
- Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
- Shot noise of the edge transport in the inverted band HgTe quantum wells
- Transport in helical Luttinger Liquid with Kondo impurities
- Helical edge transport in the presence of a magnetic impurity
- Shot noise in the edge states of 2D topological insulators
- Robust Level Coincidences in the Subband Structure of Quasi 2D Systems
- Low-Temperature Conductivity of Weakly Interacting Quantum Spin Hall Edges in Strained-Layer InAs/GaInSb
- Current noise from a magnetic moment in a helical edge
- Transition from insulating to metallic phase induced by in-plane magnetic field in HgTe quantum wells
- Chiral Majorana edge states in HgTe quantum wells
- Helical edge transport in the presence of a magnetic impurity: the role of local anisotropy
- Measurement of the shot noise in a single electron transistor
- Evidence on the macroscopic length scale spin coherence for the edge currents in a narrow HgTe quantum well
- Probing helicity and the topological origins of helicity via non-local Hanbury-Brown and Twiss correlations
- Unrestricted electron bunching at the helical edge
- Controlling spin polarization of a quantum dot via a helical edge state
- Noise insights into electronic transport
- Scanning Tunneling Shot Noise Spectroscopy in Kondo Systems
- Nonequilibirum noise spectrum and Coulomb-blockade-assisted Rabi interference in a double-dot Aharonov-Bohm interferometer
- Bridging between Lab and Rotating Frame Master Equations for Open Quantum Systems
- Noise in the helical edge channel anisotropically coupled to a local spin
- Shot noise as a probe of spin-correlated transport through single atoms
- A Generalized Open Quantum System Approach for the Electron Paramagnetic Resonance of Magnetic Atoms
- Analytical and Numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity
- Shot Noise in Mesoscopic Transport Through Localised States
- Comment on "Noise in the helical edge channel anisotropically coupled to a local spin"
- Reply to comment on "Noise in the helical edge channel anisotropically coupled to a local spin"
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- Helical Liquids in Semiconductors
- Does delta- noise probe quantum statistics?
- Quantum Fluctuation of the Quantum Geometric Tensor and its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems
- Robustness of Helical Edge States Under Edge Reconstruction
- Sub- to Super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field
- Unidirectional magneto-transport of linearly dispersing topological edge states
- Dissipative Callan-Harvey mechanism in 2+1 D Dirac system: The fate of edge states along a domain wall
- Edge Reconstruction in a Quantum Spin Hall Insulator