Kondo effect in the helical edge liquid of the quantum spin Hall state

Abstract

Following the recent observation of the quantum spin Hall (QSH) effect in HgTe quantum wells, an important issue is to understand the effect of impurities on transport in the QSH regime. Using linear response and renormalization group methods, we calculate the edge conductance of a QSH insulator as a function of temperature in the presence of a magnetic impurity. At high temperatures, Kondo and/or two-particle scattering give rise to a logarithmic temperature dependence. At low temperatures, for weak Coulomb interactions in the edge liquid the conductance is restored to unitarity with unusual power-laws characteristic of a `local helical liquid', while for strong interactions transport proceeds by weak tunneling through the impurity where only half an electron charge is transferred in each tunneling event.

5 pages, 2 figures; version accepted for publication in Phys. Rev. Lett

References in corpus (11)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Field Theory of Time-Reversal Invariant Insulators
• The Quantum Spin Hall Effect: Theory and Experiment
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Stability of the quantum spin Hall effect: effects of interactions, disorder, and Z_2 topology
• Transport through Dirty Luttinger Liquids Connected to Reservoirs
• Energy-resolved inelastic electron scattering off a magnetic impurity
• Multiple Particle Scattering in Quantum Point Contacts

Cited by in corpus (203)

• Topological Insulators
• Topological insulators and superconductors
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Edge conduction in monolayer WTe2
• 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
• Gate-controlled topological conducting channels in bilayer graphene
• Helical edge resistance introduced by charge puddles
• Correlation effects in two-dimensional topological insulators
• Interacting topological phases and modular invariance
• Majorana Kramers pairs in higher-order topological insulators
• Observation of a Helical Luttinger-Liquid in InAs/GaSb Quantum Spin Hall Edges
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• 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
• Phonon induced backscattering in helical edge states
• Unexpected edge conduction in HgTe quantum wells under broken time reversal symmetry
• Topological insulators and fractional quantum Hall effect on the ruby lattice
• Conductivity of a generic helical liquid
• Localization at the Edge of 2D Topological Insulator by Kondo Impurities with Random Anisotropies
• Interplay of exciton condensation and quantum spin Hall effect in InAs/GaSb bilayers
• Full electrical control of Charge and Spin conductance through Interferometry of Edge States in Topological Insulators
• Spatially resolved study of backscattering in the quantum spin Hall state
• Helical Luttinger liquid in topological insulator nanowires
• Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid
• Thermoelectricity by Perfectly Conducting Channels in Quantum Spin Hall Systems
• Magnetoconductance of the quantum spin Hall state
• Nuclear-spin-induced localization of the edge states in two-dimensional topological insulators
• Persistence of two-dimensional topological insulator state in wide HgTe quantum well
• Tuning Edge States in Strained-Layer InAs/GaInSb Quantum Spin Hall Insulators
• Atomically Thin Quantum Spin Hall Insulators
• Failure of conductance quantization in two-dimensional topological insulators due to non-magnetic impurities
• Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
• Universal low-temperature crossover in two-channel Kondo models
• Backscattering Between Helical Edge States via Dynamic Nuclear Polarization
• Helical edge states coupled to a spin bath: Current-induced magnetization
• Random Rashba spin-orbit coupling at the quantum spin Hall edge
• 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
• Kondo lattice on the edge of a two-dimensional topological insulator
• Magnetic moments in a helical edge can make weak correlations seem strong
• Lattice distortion effects on topological phases in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the [111] direction
• Linear magnetoresistance in HgTe quantum wells
• Noise-induced backscattering in a quantum-spin-Hall edge
• Spin polarised scanning tunneling probe for helical Luttinger liquids
• Helical Liquids in Semiconductors
• Fragility of Time-Reversal Symmetry Protected Topological Phases
• Observation of the dual quantum spin Hall insulator by density-tuned correlations in a van der Waals monolayer
• Quantum Dot in 2D Topological Insulator: The Two-channel Kondo Fixed Point
• Backscattering in helical edge states from a magnetic impurity and Rashba disorder
• Interacting two helical edge modes in quantum spin Hall systems
• Hyperfine interactions in two-dimensional HgTe topological insulators
• Parity anomaly and spin transmutation in quantum spin Hall Josephson junctions
• Single-edge transport in an InAs/GaSb quantum spin Hall insulator
• Competing topological and Kondo insulator phases on a honeycomb lattice
• Magnetic field induced Fabry-Pérot resonances in helical edge states
• Exact results for the Kondo screening cloud of two helical liquids
• Photogalvanic effect in HgTe/CdTe topological insulator due to edge-bulk optical transitions
• Indirect exchange interaction between magnetic impurities near the helical edge
• Electrical control of the Kondo effect in a helical edge liquid
• Topological Insulators and Quantum Spin Liquids
• Mesoscopic transport in two-dimensional topological insulators
• ${\mathbb{Z}}_4$ Parafermions in an interacting quantum spin Hall Josephson junction coupled to an impurity spin
• Spin current pumping in helical Luttinger liquids
• Detection of Majorana edge states in topological superconductors through the non-Fermi-liquid effects induced in an interacting quantum dot
• Topological protection brought to light by the time-reversal symmetry breaking
• Transport in helical Luttinger Liquid with Kondo impurities
• Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
• Gapless insulating edges of dirty interacting topological insulators
• In-plane noncollinear exchange coupling mediated by helical edge states in Quantum Spin Hall system
• Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid
• Photoexcitation of electron wave packets in quantum spin Hall edge states: effects of chiral anomaly from a localised electric pulse
• Helical edge transport in the presence of a magnetic impurity
• Low-Temperature Conductivity of Weakly Interacting Quantum Spin Hall Edges in Strained-Layer InAs/GaInSb
• Inelastic Electron Tunneling Spectroscopy for Topological Insulators
• Conductance of quantum spin Hall edge states from first principles: the critical role of magnetic impurities and inter-edge scattering
• Nontrivial interplay of strong disorder and interactions in quantum spin-Hall insulators doped with dilute magnetic impurities
• Holographic fractional topological insulators in 2+1 and 1+1 dimensions
• Current noise from a magnetic moment in a helical edge
• Spin-orbit interactions in a helical Luttinger liquid with a Kondo impurity
• Gate-controlled one-dimensional channel on the topological surface
• Spin textures of strongly correlated spin Hall quantum dots
• Probing one-dimensional systems via noise magnetometry with single spin qubits
• Strong Electron-Electron Interactions of a Tomonaga--Luttinger Liquid Observed in InAs Quantum Wires
• Transport phenomena in helical edge states interferometers. A Green's function approach
• A robust and tunable Luttinger liquid in correlated edge of transition-metal second-order topological insulator Ta${}_2$Pd${}_3$Te${}_5$
• Coulomb drag between helical edge states
• Does delta-$T$ noise probe quantum statistics?
• Helical edge transport in the presence of a magnetic impurity: the role of local anisotropy
• Single magnetic impurities in the Kane-Mele model
• Effects of charge dopants in quantum spin Hall materials
• Two-dimensional topological insulator state in double HgTe quantum well
• Bilayer Graphene as a platform for Bosonic Symmetry Protected Topological States
• Aharonov Bohm effect in 2D topological insulator
• Direct manifestation of band topology in the winding number of the Wannier-Stark ladder
• Indirect exchange interaction between magnetic impurities in the two-dimensional topological insulator based on CdTe/HgTe/CdTe quantum wells
• Signatures of Helical Edge Transport in Millimetre-Scale Thin Films of Na3Bi
• Fundamental limits to helical edge conductivity due to spin-phonon scattering
• Suppression of the Kondo Resistivity Minimum in Magnetic Topological Insulators
• Point contacts and localization in generic helical liquids
• Probing topological phases in a perturbed Kane-Mele model via RKKY interaction: Application to monolayer jacutingaite Pt${}_2$HgSe${}_3$
• Effects of Defects and Dephasing on Charge and Spin Currents in Two-Dimensional Topological Insulators
• Backscattering in a helical liquid induced by Rashba spin-orbit coupling and electron interactions: locality, symmetry, and cutoff aspects
• Noiseless manipulation of helical edge state transport by a quantum magnet
• Unrestricted electron bunching at the helical edge
• Two-dimensional topological insulator edge state backscattering by dephasing
• Spin Hall insulators beyond the Helical Luttinger model
• Quantitative theory of backscattering in topological HgTe and (Hg,Mn)Te quantum wells: acceptor states, Kondo effect, precessional dephasing, and bound magnetic polaron
• Magnetic AC control of the spin textures in a helical Luttinger liquid
• Magnetic Impurity Affected by Spin-Orbit Coupling: Behavior near a Topological Phase Transition
• Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
• Interaction-enhanced magnetically ordered insulating state at the edge of a two-dimensional topological insulator
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
• Controlling the Flow of Spin and Charge in Nanoscopic Topological Insulators
• Controlling spin polarization of a quantum dot via a helical edge state
• Charge transport of a spin-orbit-coupled Luttinger liquid
• Localization-Driven Correlated States of Two Isolated Interacting Helical Edges
• Edge stability and edge quantum criticality in 2D interacting topological insulators
• Living on the edge: Topology, electrostatics and disorder
• Measuring the Kondo Cloud by Current Cross Correlations in Helical Liquids
• Transport via double constrictions in integer and fractional topological insulators
• Low Energy Properties of the Kondo chain in the RKKY regime
• Finite frequency backscattering current noise at a helical edge
• Theory of Glide Symmetry Protected Helical Edge States in WTe${}_2$ Monolayer
• Imaging the breakdown and restoration of topological protection in magnetic topological insulator MnBi${}_2$Te${}_4$
• Effects of disorder on electron tunneling through helical edge states
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Protection of Edge transport in Quantum Spin Hall samples: Spin-Symmetry Based General Approach and Examples
• Composite helical edges from Abelian fractional topological insulators
• Elastic backscattering of quantum spin Hall edge modes from Coulomb interactions with non-magnetic impurities
• The invisible Majorana bound state at the helical edge
• Edge Physics of the Quantum Spin Hall Insulator from a Quantum Dot Excited by Optical Absorption
• Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples
• Topological Charge/spin density Wave in InAs/GaSb Quantum Wells under an In-plane Magnetic Field
• Conductance oscillations in quantum point contacts of InAs/GaSb heterostructures
• Quantum impurity in a Tomonaga-Luttinger liquid: continuous-time quantum Monte Carlo approach
• Majorana bound states in topological insulators with hidden Dirac points
• Evidence for broken Galilean invariance at the quantum spin Hall edge
• Analytical and Numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity
• Spin and charge transport through helical Aharonov-Bohm interferometer with strong magnetic impurity
• An Anderson impurity interacting with the helical edge states in a quantum spin Hall insulator
• Charge Kondo circuit as a detector for electron-electron interactions in a Luttinger Liquid
• Current-induced switching of magnetic molecules on topological insulator surfaces
• Helical liquid in carbon nanotubes wrapped with DNA molecules
• Voltage induced conversion of helical to uniform nuclear spin polarization in a quantum wire
• Transport signatures of a Floquet topological transition at the helical edge
• Localization of trivial edge states in InAs/GaSb composite quantum wells
• Conformal QED in two-dimensional topological insulators
• Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators
• Helical Luttinger liquid on the edge of a 2-dimensional topological antiferromagnet
• Conductance suppression by nonmagnetic point defects in helical edge channels of two-dimensional topological insulators
• The effect of magnetic impurity scattering on transport in topological insulators
• Localization of the Helical Edge States in the Absense of External Magnetic Field
• Nonequilibrium transport of helical Luttinger liquids through a quantum dot
• Suppression of ballistic helical transport by isotropic dynamical magnetic impurities
• Gate controlled Spin-Density Wave and Chiral FFLO Superconducting phases in interacting Quantum Spin Hall edge states
• Structure factor of interacting one-dimensional helical systems
• Fingerprints of bosonic symmetry protected topological state in a quantum point contact
• Transport and STM studies of hyperbolic surface states of topological insulators
• Orbital Kondo effect in fractional quantum Hall systems
• Two-channel Kondo problem in coupled interacting helical liquids
• Multi-probe analysis to separate edge currents from bulk currents in quantum spin Hall insulators and to analyze their temperature dependence
• Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator
• Sub- to Super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field
• Electrically tunable two-channel Kondo fixed points in helical liquids
• Quantum computing through electron propagation in the edge states of quantum spin Hall systems
• Generalized Nonequilibrium Quantum Transport of Spin and Pseudospins: Entanglements and Topological Phases
• Dynamics of impurity in the environment of Dirac fermions
• Transport in quantum spin Hall edges in contact to a quantum dot
• Electronic thermal conductivity in 2D topological insulator in a HgTe quantum well
• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
• RKKY to Kondo crossover in Helical Edge of a Topological Insulator
• Spin-polarized voltage probes for helical edge state: a model study
• Interference effects induced by a precessing easy-plane magnet coupled to a helical edge state
• Kinetic processes in Fermi-Luttinger liquids
• Suppressing backscattering of helical edge modes with a spin bath
• Controlling the real-time dynamics of a spin coupled to the helical edge states of the Kane-Mele model
• AC Response of the Edge States in a Two-Dimensional Topological Insulator Coupled to a Conducting Puddle
• Nonequilibrium Spectroscopy of Topological Edge Liquids
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Spin-Hall conductivity and optical characteristics of noncentrosymmetric quantum spin Hall insulators: the case of PbBiI
• Cyclotron Dynamics of a Kondo Singlet in a Spin-Orbit-Coupled Alkaline-Earth Atomic Gas
• Natural orbitals renormalization group approach to a spin-1/2 impurity interacting with two helical liquids
• Dynamic impurities in two-dimensional topological insulator-edge states
• Finite-temperature spectroscopy of dirty helical Luttinger liquids
• Electrically-detected single-spin resonance with Quantum Spin Hall edge states
• Enhanced lifetimes of spin chains coupled to chiral edge states
• In-gap states of magnetic impurity in quantum spin Hall insulator proximitized to a superconductor
• Magnetic correlation between two local spins in a quantum spin Hall insulator
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Kondo screening of spin-charge separated fluxons by a helical liquid
• Anomalous flux periodicity in proximitised quantum spin Hall constrictions
• Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
• Dissipative Hot-spot Enabled Shock and Bounce Dynamics via Terahertz Quantum Quenches in Helical Edge States
• Role of magnetic doping in topological HgTe and application of the Gram-Schmidt method for computing impurity states in quantum wells
• A non-magnetic mechanism of backscattering in helical edge states
• Finite-frequency admittance and noise of a helical edge coupled to a magnet
• Controllable magnetic correlation between two impurities by spin-orbit coupling in graphene
• Detection of fractional solitons in quantum spin Hall systems
• Edge Reconstruction in a Quantum Spin Hall Insulator
• Bulk-edge coulping induced by a moving impurity