The Toulose limit of the Multi-Channel Kondo model.

Abstract

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.

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

References in corpus (5)

• Universality of Brezin and Zee's Spectral Correlator
• On the Emery-Kivelson Solution of the two channel Kondo problem
• Toulouse limit for the overscreened four-channel Kondo problem
• Anderson-Yuval approach to the multichannel Kondo problem
• Anisotropic Spin-1/2 Heisenberg Chain with Open Boundary Conditions

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• Consistent bosonization-debosonization II: The two-lead Kondo problem and the fate of its non-equilibrium Toulouse point
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• Systematic compactification of the two-channel Kondo model. I. Consistent bosonization-debosonization approach and exact comparisons