Helical edge transport in the presence of a magnetic impurity: the role of local anisotropy
arXiv:1808.03084 · doi:10.1103/PhysRevB.99.085407
Abstract
Helical edge modes of 2D topological insulators are supposed to be protected from time-reversal invariant elastic backscattering. Yet substantial deviations from the perfect conductance are typically observed experimentally down to very low temperatures. To resolve this conundrum we consider the effect of a single magnetic impurity with arbitrary spin on the helical edge transport. We consider the most general structure of the exchange interaction between the impurity and the edge electrons. Moreover, for the first time, we take into the account the local anisotropy for the impurity and show that it strongly affects the backscattering current in a wide range of voltages and temperatures. We show that the sensitivity of the backscattering current to the presence of the local anisotropy is different for half-integer and integer values of the impurity spin. In the latter case the anisotropy can significantly increase the backscattering correction to the current.
References in corpus (58)
- 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
- Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
- Nonlocal edge state transport in the quantum spin Hall state
- Open Quantum Systems. An Introduction
- 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
- 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
- Resistance of helical edges formed in a semiconductor heterostructure
- Transport in disordered two-dimensional topological insulator
- Topologically protected quantum transport in locally exfoliated bismuth at room temperature
- Conductivity of a generic helical liquid
- Localization at the Edge of 2D Topological Insulator by Kondo Impurities with Random Anisotropies
- Properties of anisotropic magnetic impurities on surfaces
- 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
- 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
- Edge transport in InAs and InAs/GaSb quantum wells
- Gate-controlled semimetal-topological insulator transition in an InAs/GaSb heterostructure
- 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
- Interplay of the Scaling Limit and the Renormalization Group: Implications for Symmetry Restoration
- Indirect exchange interaction between magnetic impurities near the helical edge
- Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
- Transport in helical Luttinger Liquid with Kondo impurities
- Helical edge transport in the presence of a magnetic impurity
- 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
- Shot noise in the edge states of 2D topological insulators
- Transition from insulating to metallic phase induced by in-plane magnetic field in HgTe quantum wells
- Chiral Majorana edge states in HgTe quantum wells
- Evidence on the macroscopic length scale spin coherence for the edge currents in a narrow HgTe quantum well
- Indirect exchange interaction between magnetic impurities in the two-dimensional topological insulator based on CdTe/HgTe/CdTe quantum wells
- Controlling spin polarization of a quantum dot via a helical edge state
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- Helical Liquids in Semiconductors
- Does delta- noise probe quantum statistics?
- Unrestricted electron bunching at the helical edge
- Quantitative theory of backscattering in topological HgTe and (Hg,Mn)Te quantum wells: acceptor states, Kondo effect, precessional dephasing, and bound magnetic polaron
- Finite frequency backscattering current noise at a helical edge
- Protection of Edge transport in Quantum Spin Hall samples: Spin-Symmetry Based General Approach and Examples
- Analytical and Numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity
- The effect of magnetic impurity scattering on transport in topological insulators
- Suppression of ballistic helical transport by isotropic dynamical magnetic impurities
- RKKY to Kondo crossover in Helical Edge of a Topological Insulator
- Kondo enhancement of current induced spin accumulation in a quantum dot
- Interaction- and phonon-induced topological phase transitions in double helical liquids
- Unidirectional magneto-transport of linearly dispersing topological edge states
- Electrically-detected single-spin resonance with Quantum Spin Hall edge states