The Toulose limit of the Multi-Channel Kondo model.

Physics – Condensed Matter

Scientific paper

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10 pages, LaTex, a discussion about the magnetic properties is added.

Scientific paper

10.1103/PhysRevB.52.4366

We study the Toulouse limit of the multi-channel Kondo model defined as the limit of maximal anisotropy which can be achieved without changing the infrared behaviour of the model. It is shown that when the number of channels exceeds 2, the interactions do not vanish and the Toulouse limit remains a non-trivial field theory. Considerable simplifications take place only for k = 2, where the Bethe ansatz reproduces the results by Emery and Kivelson.

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