Toulouse limit for the overscreened four-channel Kondo problem

Physics – Condensed Matter

Scientific paper

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Scientific paper

10.1103/PhysRevB.50.17732

We show that the spin dynamics of the 4--channel Kondo model is equivalent to the one of a model with a spin 1/2 impurity coupled to spin 1 conduction electrons. By abelian bosonization of the latter model we find a kind of Toulouse limit analogous to that recently discussed by Emery and Kivelson for the 2--channel case. We analyse the model by exploiting the close analogy to the problem of an impurity in the Luttinger liquid.

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