Kondo Effect in a Luttinger Liquid: Exact Results from Conformal Field Theory

Abstract

We report on exact results for the low-temperature thermodynamics of a spin-$\frac{1}{2}$ magnetic impurity coupled to a one-dimensional interacting electron system. By using boundary conformal field theory, we show that there are only two types of critical behaviors consistent with the symmetries of the problem: {\em either} a local Fermi liquid, {\em or} a theory with an anomalous response identical to that recently proposed by Furusaki and Nagaosa. Suppression of back scattering off the impurity leads to the same critical properties as for the two-channel Kondo effect.

9 pages, REVTeX, uses amsfonts, accepted for publication in Phys. Rev. Lett

Cited by in corpus (65)

• Exact Results for a Kondo Problem in One Dimensional t-J Model
• The Supersymmetric t-J Model with a Boundary
• Kondo Resonance in a Mesoscopic Ring Coupled to a Quantum Dot: Exact Results for the Aharonov-Bohm/Casher Effects
• An Exactly Solvable Kondo Problem for Interacting One-Dimensional Fermions
• Exact solution of the open Heisenberg chain with two impurities
• Integrable impurity in the supersymmetric t-J model
• Exact solution of a t-J chain with impurity
• Magnetic Impurity in a Luttinger Liquid: A Conformal Field Theory Approach
• RKKY interaction and Kondo screening cloud for correlated electrons
• Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model
• Integrabilities of the $t-J$ Model with Impurities
• Junctions of multiple quantum wires with different Luttinger parameters
• Holographic Kondo Model in Various Dimensions
• Kondo screening cloud and the charge staircase in one-dimensional mesoscopic devices
• Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain
• Integrable impurities for an open fermion chain
• Scaling and criticality of the Kondo effect in a Luttinger liquid
• Kondo effect in XXZ spin chains
• Spin-orbit interactions in a helical Luttinger liquid with a Kondo impurity
• Hidden Kondo Effect in a Correlated Electron Chain
• Kondo Problems in Tomonaga-Luttinger liquids
• Open spin chain realization of topological defect on 1d Ising model and boundary and bulk symmetry
• Complex fixed points of the non-Hermitian Kondo model in a Luttinger liquid
• Algebraic Bethe ansatz for integrable Kondo impurities in the one-dimensional supersymmetric t-J model
• Kondo effect in the isotropic Heisenberg spin chain
• Two Magnetic Impurities in a Spin Chain
• Quench dynamics and relaxation of a spin coupled to interacting leads
• Holographic Kondo and Fano Resonances
• Logarithmic corrections from ferromagnetic impurity ending bonds of open antiferromagnetic host chains
• Multichannel Kondo Effect in an Interacting Electron System: Exact Results for the Low-Temperature Thermodynamics
• Kondo effect in a one dimensional d-wave superconductor
• Renormalization-group study of a magnetic impurity in a Luttinger liquid
• Interplay between the mesoscopic Stoner and Kondo effects in quantum dots
• Measuring Luttinger Liquid Correlations from Charge Fluctuations in a Nanoscale Structure
• A supersymmetric U_{q}[osp(2|2)]-extended Hubbard model with boundary fields
• From Kondo effect to weak-link regime in quantum spin-1/2 spin chains
• Kondo effect in a Luttinger liquid: nonuniversality of the Wilson ratio
• Boundary Kondo impurities in the generalized supersymmetric t-J model
• Ghost spins and novel quantum critical behavior in a spin chain with local bond-deformation
• Edge modes and boundary impurities in the anisotropic Heisenberg spin chain
• Universal Behavior of Quantum Impurity Scattering in Tomonaga-Luttinger Liquid
• A Kondo impurity in one dimensional correlated conduction electrons
• Kondo effect in crossed Luttinger liquids
• Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons
• Scalar potential effect in an integrable Kondo model
• Orbital Kondo effect in fractional quantum Hall systems
• The Kondo effect in the quantum $XX$ spin chain
• Re-examination of electronic transports through a quantum wire coupled to a quantum dot
• Quench dynamics of the Kondo effect: transport across an impurity coupled to interacting wires
• Hubbard chain with a Kondo impurity
• Anderson-like impurity in the one-dimensional t-J model: formation of local states and magnetic behaviour
• Single-impurity Kondo physics at extreme particle-hole asymmetry
• Underscreened Kondo impurities in a Luttinger liquid
• Integrable impurities in Hubbard chain with the open boundary condition
• Coqblin-Schrieffer impurity in a singular metal
• Metal-Kondo insulating transitions and transport in one dimension
• Integrability of the Heisenberg Chains with Boundary Impurities and Their Bethe Ansatz
• Multichannel Kondo Screening in a One-Dimensional Correlated Electron System
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Crossover from Anderson- to Kondo-like behavior: Universality induced by spin-charge separation
• Kondo effect in a quantum critical ferromagnet
• Magnetic impurities in the one-dimensional spin-orbital model
• Effect of strong correlation on the study of renormalization group flow diagram for Kondo effect in a interacting quantum wire
• Interplay between a quantum impurity and a boundary field in the SUSY t-J model
• Generalized Calogero-Sutherland models for Kondo physics in the Luttinger liquid