Conductance of a helical edge liquid coupled to a magnetic impurity

Abstract

Transport in an ideal two-dimensional quantum spin Hall device is dominated by the counterpropagating edge states of electrons with opposite spins, giving the universal value of the conductance, $2e^2/h$. We study the effect on the conductance of a magnetic impurity, which can backscatter an electron from one edge state to the other. In the case of isotropic Kondo exchange we find that the correction to the electrical conductance caused by such an impurity vanishes in the dc limit, while the thermal conductance does acquire a finite correction due to the spin-flip backscattering.

5 pages, 2 figures

References in corpus (5)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Spin-orbit mediated anisotropic spin interaction in interacting electron systems

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• Indirect exchange interaction between magnetic impurities in the two-dimensional topological insulator based on CdTe/HgTe/CdTe quantum wells
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• Large Chern Number Topological Superfluids in Coupled Layer System
• Quantitative theory of backscattering in topological HgTe and (Hg,Mn)Te quantum wells: acceptor states, Kondo effect, precessional dephasing, and bound magnetic polaron
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
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• Theory of Glide Symmetry Protected Helical Edge States in WTe${}_2$ Monolayer
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• Interplay of quantum spin Hall effect and spontaneous time-reversal symmetry breaking in electron-hole bilayers I: Transport properties
• An Anderson impurity interacting with the helical edge states in a quantum spin Hall insulator
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• The effect of magnetic impurity scattering on transport in topological insulators
• Suppression of ballistic helical transport by isotropic dynamical magnetic impurities
• Unprotected edge modes in quantum spin Hall insulator candidate materials
• Conductance suppression by nonmagnetic point defects in helical edge channels of two-dimensional topological insulators
• Edge spin transport in the disordered two-dimensional topological insulator WTe${}_2$
• Two-channel Kondo problem in coupled interacting helical liquids
• 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
• Multi-probe analysis to separate edge currents from bulk currents in quantum spin Hall insulators and to analyze their temperature dependence
• RKKY to Kondo crossover in Helical Edge of a Topological Insulator
• Electronic thermal conductivity in 2D topological insulator in a HgTe quantum well
• Tight-binding theory of spin-spin interactions, Curie temperatures, and quantum Hall effects in topological (Hg,Cr)Te in comparison to non-topological (Zn,Cr)Te, and (Ga,Mn)N
• Controlling the real-time dynamics of a spin coupled to the helical edge states of the Kane-Mele model
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Spin-polarized voltage probes for helical edge state: a model study
• Nonequilibrium Spectroscopy of Topological Edge Liquids
• AC Response of the Edge States in a Two-Dimensional Topological Insulator Coupled to a Conducting Puddle
• Interference effects induced by a precessing easy-plane magnet coupled to a helical edge state
• Unidirectional magneto-transport of linearly dispersing topological edge states
• Electrically-detected single-spin resonance with Quantum Spin Hall edge states
• Natural orbitals renormalization group approach to a spin-1/2 impurity interacting with two helical liquids
• Magnetic correlation between two local spins in a quantum spin Hall insulator
• Finite-temperature spectroscopy of dirty helical Luttinger liquids
• Dynamic impurities in two-dimensional topological insulator-edge states
• Thermal and electrical quantum Hall effects in ferromagnet-topological insulator-ferromagnet junction
• Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
• Thermal dissipation of the quantum spin Hall edge states in HgTe/CdTe quantum well
• Role of magnetic doping in topological HgTe and application of the Gram-Schmidt method for computing impurity states in quantum wells
• Finite-frequency admittance and noise of a helical edge coupled to a magnet
• A non-magnetic mechanism of backscattering in helical edge states
• Controllable magnetic correlation between two impurities by spin-orbit coupling in graphene
• Spin responses of a disordered helical superconducting edge under Zeeman field