Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited

Abstract

We show that the paradigmatic Ruderman-Kittel-Kasuya-Yosida (RKKY) description of two local magnetic moments coupled to propagating electrons breaks down in helical Luttinger Liquids when the electron interaction is stronger than some critical value. In this novel regime, the Kondo effect overwhelms the RKKY interaction over all macroscopic inter-impurity distances. This phenomenon is a direct consequence of the helicity (realized, for instance, at edges of a time-reversal invariant topological insulator) and does not take place in usual (non-helical) Luttinger Liquids.

6 pages, 2 figures; the Bibliography, Conclusions and discussions are substantially expanded in this version which has been accepted for publication in Phys. Rev. Lett

References in corpus (7)

• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Ordering of magnetic impurities and tunable electronic properties of topological insulators
• Conductance of a helical edge liquid coupled to a magnetic impurity
• Kondo lattice on the edge of a two-dimensional topological insulator
• RKKY Interactions in Graphene: Dependence on Disorder and Gate Voltage
• Spatial structure of correlations around a quantum impurity at the edge of a two-dimensional topological insulator

Cited by in corpus (25)

• Helical Liquids in Semiconductors
• Noncollinear twisted RKKY interaction on the optically driven SnTe(001) surface
• Does delta-$T$ noise probe quantum statistics?
• Helical edge transport in the presence of a magnetic impurity: the role of local anisotropy
• Effective low-energy description of the two impurity Anderson model: RKKY interaction and quantum criticality
• Unrestricted electron bunching at the helical edge
• Physics of Arbitrary Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal
• Poor man's scaling: anisotropic Kondo and Coqblin--Schrieffer models
• Finite frequency backscattering current noise at a helical edge
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• Protection of Edge transport in Quantum Spin Hall samples: Spin-Symmetry Based General Approach and Examples
• Analytical and Numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity
• Chiral numerical renormalization group
• Spin Berry curvature of the Haldane model
• Suppression of ballistic helical transport by isotropic dynamical magnetic impurities
• Fluctuations and photon statistics in quantum metamaterial near the superradiant transition
• Two-channel Kondo problem in coupled interacting helical liquids
• RKKY interaction at helical edges of topological superconductors
• RKKY to Kondo crossover in Helical Edge of a Topological Insulator
• RKKY interaction in graphene at finite temperature
• Controlling the real-time dynamics of a spin coupled to the helical edge states of the Kane-Mele model
• Dynamic-RKKY induced time-reversal symmetry breaking and chiral spin liquids
• Higher order spin interactions mediated by the substrate
• Kondo Screening and Indirect Magnetic Exchange through a Conventional Superconductor Studied by the Density-Matrix Renormalization Group
• Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm