Bosonization in the two-channel Kondo model

Abstract

The bosonization of the $S=1/2$ anisotropic two-channel Kondo model is shown to yield two equivalent representations of the original problem. In a straight forward extension of the Emery-Kivelson approach, the interacting resonant level model previously derived by the Anderson-Yuval technique is obtained. In addition, however, a ``($\sigma$,$\tau$)'' description is also found. The strong coupling fixed point of the ($\sigma$,$\tau$) model was originally postulated to be related to the intermediate coupling fixed point of the two-channel Kondo model. The equivalence of the $\sigma$,$\tau$ model to the two-channel Kondo model is formally established. A summary of what one may learn from a simple study of these different representations is also given.

5 pages, latex (uses revtex and epsf macros) with 1 postscript figure

Cited by in corpus (18)

• Majorana-Klein hybridization in topological superconductor junctions
• Prospects for heavy supersymmetric charged Higgs boson searches at hadron colliders
• Finite-Size Bosonization of 2-Channel Kondo Model: a Bridge between Numerical Renormalization Group and Conformal Field Theory
• Improving the discovery potential of charged Higgs bosons at Tevatron Run 2
• Two-sites quantum island in the quasi-ballistic regime
• Two-channel pseudogap Kondo and Anderson models: Quantum phase transitions and non-Fermi liquids
• Low energy fixed points of the sigma-tau and the O(3) symmetric Anderson models
• Low energy dynamics of the one dimensional multichannel Kondo-Heisenberg Lattice
• 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
• Kondo Effect in Systems with Spin Disorder
• Nonequilibrium dynamics in a two-channel Kondo system due to a quantum quench
• On two channel flavor anisotropic and one channel compactified Kondo models
• Marginal Fermi Liquid in a lattice of three-body bound-states
• Frustration shapes multi-channel Kondo physics: a star graph perspective
• 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
• Fractional quantum Hall junctions and two-channel Kondo models