Low Energy Properties of the Kondo chain in the RKKY regime

Abstract

We study the Kondo chain in the regime of high spin concentration where the low energy physics is dominated by the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction. As has been recently shown (A. M. Tsvelik and O. M. Yevtushenko, Phys. Rev. Lett 115, 216402 (2015)), this model has two phases with drastically different transport properties depending on the anisotropy of the exchange interaction. In particular, the helical symmetry of the fermions is spontaneously broken when the anisotropy is of the easy plane type (EP). This leads to a parametrical suppression of the localization effects. In the present paper we substantially extend the previous theory, in particular, by analyzing a competition of forward- and backward- scattering, including into the theory short range electron interactions and calculating spin correlation functions. We discuss applicability of our theory and possible experiments which could support the theoretical findings.

arXiv comment24 pages, 8 figures, 5 appendices

References in corpus (28)

• Topological invariants of time-reversal-invariant band structures
• Bosonization and Strongly Correlated Systems
• Stability of the quantum spin Hall effect: effects of interactions, disorder, and Z_2 topology
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Landauer Conductance of Luttinger Liquids with Leads
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• On the $Z_2$ classification of Quantum Spin Hall Models
• Kondo effect in the helical edge liquid of the quantum spin Hall state
• Electron-nuclear interaction in 13C nanotube double quantum dots
• Iron Displacements and Magnetoelastic Coupling in the Spin-Ladder Compound BaFe2Se3
• Nuclear magnetism and electron order in interacting one-dimensional conductors
• Localization at the Edge of 2D Topological Insulator by Kondo Impurities with Random Anisotropies
• Exact Results for 1D Kondo Lattice from Bosonization
• Block magnetism coupled with local distortion in the iron-based spin-ladder compound BaFe2Se3
• Transport through Dirty Luttinger Liquids Connected to Reservoirs
• Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires
• Exotic magnetic order in the orbital-selective Mott regime of multiorbital systems
• Magnetic States of the Two-Leg Ladder Alkali Metal Iron Selenides $A$Fe${}_2$Se${}_3$
• One-dimensional Kondo lattice at partial band filling
• The one dimensional Kondo lattice model at partial band filling
• Functional Integral Bosonization for Impurity in Luttinger Liquid
• Kondo lattice on the edge of a two-dimensional topological insulator
• Local Spin Susceptibilities of Low-Dimensional Electron Systems
• Transport in helical Luttinger Liquid with Kondo impurities
• A Coulomb gas approach to the anisotropic one-dimensional Kondo lattice model at arbitrary filling
• Quantum Phase Transition and Protected Ideal Transport in a Kondo Chain
• Phase diagram of the anisotropic Kondo chain
• Helical spin texture and interference of Majorana bound states in one-dimensional topological superconductor

Cited by in corpus (10)

• Kondo Impurities Coupled to Helical Luttinger Liquid: RKKY-Kondo Physics Revisited
• Doped Kondo chain, a heavy Luttinger liquid
• Chiral Spin Order in Kondo-Heisenberg systems
• Physics of Arbitrary Doped Kondo Lattices: from a Commensurate Insulator to a Heavy Luttinger Liquid and a Protected Helical Metal
• Transmission through a potential barrier in Luttinger liquids with a topological spin gap
• Correlations and incipient antiferromagnetic order within the linear Mn chains of metallic Ti${}_4$MnBi${}_2$
• Symmetry-protected topological phase transition in one-dimensional Kondo lattice and its realization with ultracold atoms
• Transport in Magnetically Doped One-Dimensional Wires: Can the Helical Protection Emerge without the Global Helicity?
• Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice
• Protected helical transport in magnetically doped quantum wires: Beyond the one-dimensional paradigm