Electrical control of the Kondo effect in a helical edge liquid

Abstract

Magnetic impurities affect the transport properties of the helical edge states of quantum spin Hall insulators by causing single-electron backscattering. We study such a system in the presence of a Rashba spin-orbit interaction induced by an external electric field, showing that this can be used to control the Kondo temperature, as well as the correction to the conductance due to the impurity. Surprisingly, for a strongly anisotropic electron-impurity spin exchange, Kondo screening may get obstructed by the presence of a non-collinear spin interaction mediated by the Rashba coupling. This challenges the expectation that the Kondo effect is stable against time-reversal invariant perturbations.

7 pages, 2 figures. Expression for the current operator corrected. (Conclusions unaffected.) Erratum to be published

References in corpus (12)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Edge Dynamics in a Quantum Spin Hall State: Effects from Rashba Spin-Orbit Interaction
• Conductance of a helical edge liquid coupled to a magnetic impurity
• Corner Junction as a Probe of Helical Edge States
• Tunneling between edge states in a quantum spin Hall system
• Properties of anisotropic magnetic impurities on surfaces
• Kondo lattice on the edge of a two-dimensional topological insulator
• The Two Dimensional Kondo Model with Rashba Spin-Orbit Coupling
• Electrical manipulation and measurement of spin properties of quantum spin Hall edge states

Cited by in corpus (24)

• Helical Liquids in Semiconductors
• Backscattering in helical edge states from a magnetic impurity and Rashba disorder
• Hyperfine interactions in two-dimensional HgTe topological insulators
• Spin current pumping in helical Luttinger liquids
• Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
• Influence of Rashba spin-orbit coupling on the Kondo effect
• Generic helical edge states due to Rashba spin-orbit coupling in a topological insulator
• Nontrivial interplay of strong disorder and interactions in quantum spin-Hall insulators doped with dilute magnetic impurities
• Spin-orbit interactions in a helical Luttinger liquid with a Kondo impurity
• Quantum impurity in the bulk of topological insulator
• Magnetic AC control of the spin textures in a helical Luttinger liquid
• Controlling spin polarization of a quantum dot via a helical edge state
• Topological insulator ring with magnetic impurities
• Transport via double constrictions in integer and fractional topological insulators
• Quantum impurity in a Tomonaga-Luttinger liquid: continuous-time quantum Monte Carlo approach
• Analytical and Numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity
• Two-channel Kondo problem in coupled interacting helical liquids
• Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator
• Electrically tunable two-channel Kondo fixed points in helical liquids
• Spin-polarized voltage probes for helical edge state: a model study
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Electrically-detected single-spin resonance with Quantum Spin Hall edge states
• Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
• Kondo screening of spin-charge separated fluxons by a helical liquid