We adapt the strong-coupling method first used in the one-channel Kondo model to develop a simple description of the spin- $\frac{1}{2}$ two-channel Kondo model with channel anisotropy. Our method exploits spin-charge decoupling to develop a compactified Hamiltonian that describes the spin excitations. The structure of the fixed-point Hamiltonian and quasiparticle impurity S matrix are incompatible with a Fermi-liquid description.We adapt the strong-coupling method first used in the one-channel Kondo model to develop a simple description of the spin- $\frac{1}{2}$ two-channel Kondo model with channel anisotropy. Our method exploits spin-charge decoupling to develop a compactified Hamiltonian that describes the spin excitations. The structure of the fixed-point Hamiltonian and quasiparticle impurity S matrix are incompatible with a Fermi-liquid description.

arXiv:cond-mat/9504084Physical Review LettersSep 11, 199533 citations

Bosonization in the two-channel Kondo model

A. J. Schofield

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 compactified ``(\ensuremath{\sigma},\ensuremath{\tau})'' description is also found. The strong coupling fixed point of the (\ensuremath{\sigma},\ensuremath{\tau}) model was originally postulated to be related to the intermediate coupling fixed point of the two-channel Kondo model. The equivalence of the \ensuremath{\sigma},\ensuremath{\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.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 compactified ``(\ensuremath{\sigma},\ensuremath{\tau})'' description is also found. The strong coupling fixed point of the (\ensuremath{\sigma},\ensuremath{\tau}) model was originally postulated to be related to the intermediate coupling fixed point of the two-channel Kondo model. The equivalence of the \ensuremath{\sigma},\ensuremath{\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.

arXiv:cond-mat/9606063Physical review. B, Condensed matterMar 1, 199718 citations

Solution of the multichannel Kondo-problem

Natan Andrei

Lecture notes in physicsJan 1, 19882 citations

We adapt the strong-coupling method first used in the one-channel Kondo model to develop a simple description of the spin-

\frac{1}{2}

two-channel Kondo model with channel anisotropy. Our method exploits spin-charge decoupling to develop a compactified Hamiltonian that describes the spin excitations. The structure of the fixed-point Hamiltonian and quasiparticle impurity S matrix are incompatible with a Fermi-liquid description.