Localization at the Edge of 2D Topological Insulator by Kondo Impurities with Random Anisotropies

Abstract

We consider chiral electrons moving along the 1D helical edge of a 2D topological insulator and interacting with a disordered chain of Kondo impurities. Assuming the electron-spin couplings of random anisotropies, we map this system to the problem of the pinning of the charge density wave by the disordered potential. This mapping proves that arbitrary weak anisotropic disorder in coupling of chiral electrons with spin impurities leads to the Anderson localization of the edge states.

Minor revisions; 4 pages, 1 figure

References in corpus (6)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Conductance of a helical edge liquid coupled to a magnetic impurity
• Backscattering Between Helical Edge States via Dynamic Nuclear Polarization
• Mesoscopic fluctuations of conductance of a helical edge contaminated by magnetic impurities
• Kondo lattice on the edge of a two-dimensional topological insulator

Cited by in corpus (89)

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• Transport in two-dimensional topological materials: recent developments in experiment and theory
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• Photogalvanic probing of helical edge channels in 2D HgTe topological insulators
• Atomically Thin Quantum Spin Hall Insulators
• Failure of conductance quantization in two-dimensional topological insulators due to non-magnetic impurities
• Effects of nuclear spins on the transport properties of the edge of two-dimensional topological insulators
• Magnetic moments in a helical edge can make weak correlations seem strong
• Noise-induced backscattering in a quantum-spin-Hall edge
• Helical Liquids in Semiconductors
• Backscattering in helical edge states from a magnetic impurity and Rashba disorder
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• Transport and collective radiance in a basic quantum chiral optical model
• Parity anomaly and spin transmutation in quantum spin Hall Josephson junctions
• Indirect exchange interaction between magnetic impurities near the helical edge
• Determination of the spin axis in quantum spin Hall insulator monolayer WTe2
• Transport in helical Luttinger Liquid with Kondo impurities
• Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
• Noncollinear magnetic phases and edge states in graphene quantum Hall bars
• Gapless insulating edges of dirty interacting topological insulators
• Topological Protection from Random Rashba Spin-Orbit Backscattering: Ballistic Transport in a Helical Luttinger Liquid
• Helical edge transport in the presence of a magnetic impurity
• Shot noise in the edge states of 2D topological insulators
• Current noise from a magnetic moment in a helical edge
• Helical edge transport in the presence of a magnetic impurity: the role of local anisotropy
• Effects of charge dopants in quantum spin Hall materials
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• Noiseless manipulation of helical edge state transport by a quantum magnet
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• Optical properties of helical edge channels in zinc-blende-type topological insulators: Selection rules, circular and linear dichroism, circular and linear photocurrents
• Anomalous localization at the boundary of an interacting topological insulator
• Physics of Arbitrary Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal
• Theory of Glide Symmetry Protected Helical Edge States in WTe${}_2$ Monolayer
• Low Energy Properties of the Kondo chain in the RKKY regime
• Finite frequency backscattering current noise at a helical edge
• $8\pi$-periodic dissipationless ac Josephson effect on a quantum spin-Hall edge via a Quantum magnetic impurity
• Edge Physics of the Quantum Spin Hall Insulator from a Quantum Dot Excited by Optical Absorption
• Composite helical edges from Abelian fractional topological insulators
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• Protection of Edge transport in Quantum Spin Hall samples: Spin-Symmetry Based General Approach and Examples
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• Chiral Lattice Supersolid on Edges of Quantum Spin Hall Samples
• Majorana bound states in topological insulators with hidden Dirac points
• Tunneling Aharonov-Bohm interferometer on helical edge states
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• Analytical and Numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity
• Localization of trivial edge states in InAs/GaSb composite quantum wells
• Chiral numerical renormalization group
• Conductance suppression by nonmagnetic point defects in helical edge channels of two-dimensional topological insulators
• Localization of the Helical Edge States in the Absense of External Magnetic Field
• Robustness of Helical Edge States Under Edge Reconstruction
• Suppression of ballistic helical transport by isotropic dynamical magnetic impurities
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• Edge spin transport in the disordered two-dimensional topological insulator WTe${}_2$
• Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator
• Two-channel Kondo problem in coupled interacting helical liquids
• Universal Duality in Luttinger Liquid Coupled to Generic Environment
• Generalized Nonequilibrium Quantum Transport of Spin and Pseudospins: Entanglements and Topological Phases
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• Transport in Magnetically Doped One-Dimensional Wires: Can the Helical Protection Emerge without the Global Helicity?
• RKKY to Kondo crossover in Helical Edge of a Topological Insulator
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• Topological insulator in junction with ferromagnets: quantum Hall effects
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• Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations
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• Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm