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.

arXiv comment5 pages, 2 figures

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• Topological Insulators
• 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
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• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Thermal transport in a Luttinger liquid
• Spin-orbit mediated anisotropic spin interaction in interacting electron systems

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