Single magnetic impurities in the Kane-Mele model

Abstract

The realization of the spin-Hall effect in quantum wells has led to a plethora of studies regarding the properties of the edge states of a 2D topological insulator. These edge states constitute a class of one-dimensional liquids, called the helical liquid, where an electron's spin quantization axis is tied to its momentum. In contrast to one dimensional conductors, magnetic impurities - below the Kondo temperature - cannot block transport and one expects the current to circumvent the impurity. To study this phenomenon, we consider the single impurity Anderson model embedded into an edge of a Kane-Mele ribbon with up to 512x80 sites and use the numerically exact continuous time QMC method to study the Kondo effect. We present results on the temperature dependence of the spectral properties of the impurity and the bulk system that show the behaviour of the system in the various regimes of the Anderson model. A view complementary to the single particle spectral functions can be obtained using the spatial behaviour of the spin-spin correlation functions. Here we show the characteristic, algebraic decay in the edge channel near the impurity.

14 pages, 14 Figures, submitted to PRB

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Cited by in corpus (17)

• Constrained sampling method for analytic continuation
• Quantum transport simulation scheme including strong correlations and its application to organic radicals adsorbed on gold
• The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
• Dynamically generated edge states in topological Kondo insulators
• Probing topological phases in a perturbed Kane-Mele model via RKKY interaction: Application to monolayer jacutingaite Pt${}_2$HgSe${}_3$
• Controlling spin polarization of a quantum dot via a helical edge state
• Transport via double constrictions in integer and fractional topological insulators
• Long-time relaxation dynamics of a spin coupled to a Chern insulator
• An Anderson impurity interacting with the helical edge states in a quantum spin Hall insulator
• Spin Berry curvature of the Haldane model
• Dynamics of the impurity screening cloud following quantum quenches of the Resonant Level Model
• Single-impurity Kondo physics at extreme particle-hole asymmetry
• In-gap states of magnetic impurity in quantum spin Hall insulator proximitized to a superconductor
• 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
• Cyclotron Dynamics of a Kondo Singlet in a Spin-Orbit-Coupled Alkaline-Earth Atomic Gas
• Kondo screening of spin-charge separated fluxons by a helical liquid