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Bosonization in the two-channel Kondo model

A. J. Schofield
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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 ``($σ$,$τ$)'' description is also found. The strong coupling fixed point of the ($σ$,$τ$) model was originally postulated to be related to the intermediate coupling fixed point of the two-channel Kondo model. The equivalence of the $σ$,$τ$ 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.

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A. J. Schofield. 1996-06-10. Bosonization in the two-channel Kondo model. https://doi.org/10.1103/physrevb.55.5627

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