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We present a solution of the two channel Kondo model with channel anisotropic exchange couplings. The solution provides an analytic description of the crossover from a high temperature regime, dominated by the non-Fermi-liquid behavior of the isotropic two channel Kondo model, to a low temperature regime characterized by the standard Fermi-liquid behavior of the single channel Kondo model.
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Fabrizio et al. (1995) studied this question.
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