Bosonization solution of the Kondo lattice in a Luttinger liquid

Abstract

We address the physics of a regular arrangement of independent magnetic impurities embedded in a band of interacting electrons. We focus on the one-dimensional case that can be studied using bosonization and in which the electron bulk is described by a Luttinger liquid. The impurity spins interact with the electrons via magnetic exchange that introduces the possibility of Kondo and Ruderman-Kittel-Kasuya-Yosida (RKKY) physics. We find that for two special values of the interactions, the model can be refermionized as a noninteracting electron band hybridized with a regular array of resonant levels. These solvable limits provide access to impurity correlators that correspond to either extended algebraic order or local screening. A physical picture emerges of how the interelectron interactions can stabilize either Kondo or RKKY physics depending on the sign of the interaction.

15 pages, 3 figures

References in corpus (14)

• Superconductivity near 80 Kelvin in single crystals of La3Ni2O7 under pressure
• Pressure-induced superconductivity in polycrystalline La3Ni2O7
• Kondo Problems in Tomonaga-Luttinger liquids
• Large-N Approach to the Two-Channel Kondo Lattice
• Dissipative dynamics of an extended magnetic nanostructure: Spin necklace in a metallic environment
• Emergent Spinon Dispersion and Symmetry Breaking in Two-Channel Kondo Lattices
• Mapping of the Anisotropic Two-channel Anderson Model onto a Fermi-Majorana bi-Resonant Level Model
• Bosonization approach to the mixed-valence two-channel Kondo problem
• Magnetic Correlations and Pairing Tendencies of the Hybrid Stacking Nickelate Superlattice La${}_7$Ni${}_5$O${}_{17}$ (La${}_3$Ni${}_2$O${}_7$/La${}_4$Ni${}_3$O${}_{10}$) under Pressure
• Two-channel Kondo problem in coupled interacting helical liquids
• Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality
• Systematic compactification of the two-channel Kondo model. I. Consistent bosonization-debosonization approach and exact comparisons
• Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis
• Topological ground state degeneracy of the two-channel Kondo lattice