Anderson-Yuval approach to the multichannel Kondo problem

Details Anderson-Yuval approach to the multichannel Kondo problem Anderson-Yuval approach to the multichannel Kondo problem

1994-12-28

arxiv.org/abs/cond-mat/9412118v1

Physics

Condensed Matter

23 pages, ReVTeX, 4 figures av. on request

Scientific paper

10.1103/PhysRevB.51.16088

We analyze the structure of the perturbation expansion of the general multichannel Kondo model with channel anisotropic exchange couplings and in the presence of an external magnetic field, generalizing to this case the Anderson-Yuval technique. For two channels, we are able to map the Kondo model onto a generalized resonant level model. Limiting cases in which the equivalent resonant level model is solvable are identified. The solution correctly captures the properties of the two channel Kondo model, and also allows an analytic description of the cross-over from the non Fermi liquid to the Fermi liquid behavior caused by the channel anisotropy.

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