Kondo Problems in Tomonaga-Luttinger liquids
arXiv:cond-mat/0409016 · doi:10.1143/JPSJ.74.73
Abstract
Quantum impurity problems in Tomonaga-Luttinger liquids (TLLs) are reviewed with emphasis on their analogy to the Kondo problem in Fermi liquids. First, the problem of a static impurity in a spinless TLL is considered, which is related to the model studied in the context of the macroscopic quantum coherence. In the low-energy limit the TLL is essentially cut into two pieces when interaction is repulsive. The orthogonality catastrophe in a TLL is then discussed. Finally, the Kondo effect of a spin-1/2 impurity in a one-dimensional repulsively interacting electron liquids (a spinful TLL) is reviewed. Regardless of the sign of the exchange coupling, the impury spin is completely screened in the ground state. The leading low-temperature contributions to thermodynamic quantities come from boundary contributions of a bulk leading irrelevant operator.
7 pages, submitted to a special edition of JPSJ "Kondo Effect -- 40 Years after the Discovery"; corrected typos, added references
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Cited by in corpus (20)
- Junctions of three quantum wires
- Junctions of anyonic Luttinger wires
- Junctions of three quantum wires for spin 1/2 electrons
- General method for calculating the universal conductance of strongly correlated junctions of multiple quantum wires
- Parafermions in an interacting quantum spin Hall Josephson junction coupled to an impurity spin
- Duality between normal and superconducting junctions of multiple quantum wires
- Kondo physics in transport through a quantum dot with Luttinger liquid leads
- Spin-orbit interactions in a helical Luttinger liquid with a Kondo impurity
- Quasiexact Kondo Dynamics of Fermionic Alkaline-Earth-Like Atoms at Finite Temperatures
- Holographic Kondo and Fano Resonances
- Charge Kondo circuit as a detector for electron-electron interactions in a Luttinger Liquid
- Engineering the Kondo impurity problem with alkaline-earth atom arrays
- Orbital Kondo effect in fractional quantum Hall systems
- Anderson-like impurity in the one-dimensional t-J model: formation of local states and magnetic behaviour
- Two-channel Kondo problem in coupled interacting helical liquids
- Underscreened Kondo impurities in a Luttinger liquid
- Exceptional Luttinger Liquids from sublattice dependent interaction
- Kondo effect under arbitrary spin-momentum locking
- Bosonization solution of the Kondo lattice in a Luttinger liquid
- Effect of strong correlation on the study of renormalization group flow diagram for Kondo effect in a interacting quantum wire