Kondo effect in crossed Luttinger liquids

Abstract

We study the Kondo effect in two crossed Luttinger liquids, using Boundary Conformal Field Theory. We predict two types of critical behaviors: either a two-channel Kondo fixed point with a nonuniversal Wilson ratio, or a new theory with an anomalous response identical to that found by Furusaki and Nagaosa (for the Kondo effect in a single Luttinger liquid). Moreover, we discuss the relevance of perturbations like channel anisotropy, and we make links with the Kondo effect in a two-band Hubbard system modeled by a channel-dependent Luttinger Hamiltonian. The suppression of backscattering off the impurity produces a model similar to the four-channel Kondo theory.

7 pages, RevteX, to be published in Physical Review B

References in corpus (3)

• Nonequilibrium transport for crossed Luttinger liquids
• Multichannel Kondo Effect in an Interacting Electron System: Exact Results for the Low-Temperature Thermodynamics
• Kondo effect in a Luttinger liquid: nonuniversality of the Wilson ratio

Cited by in corpus (6)

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• Renormalization group study of the Kondo problem at a junction of several Luttinger wires
• Enhanced Two-Channel Kondo Physics in a Quantum Box Device
• A multi-channel fixed point for a Kondo spin coupled to a junction of Luttinger liquids
• Underscreened Kondo impurities in a Luttinger liquid
• Influence of non-magnetic impurities on hole doped two-leg Cu-O Hubbard ladders