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The multichannel Kondo model with SU(N) spin symmetry and SU(K) channelsymmetry is considered. The impurity spin is chosen to transform as anantisymmetric representation of SU(N), corresponding to a fixed number ofAbrikosov fermions $\sum_{\alpha}f_{\alpha}^{\dagger}f_{\alpha}=Q$. For morethan one channel (K>1), and all values of N and Q, the model displays non-Fermibehaviour associated with the overscreening of the impurity spin. Universallow-temperature thermodynamic and transport properties of this non-Fermi liquidstate are computed using conformal field theory methods. A large-N limit of themodel is then considered, in which K/N and Q/N are held fixed. Spectraldensities satisfy coupled integral equations in this limit, corresponding to a(time-dependent) saddle-point. A low frequency, low-temperature analysis ofthese equations reveals universal scaling properties in the variable$\omega/T$, also predicted from conformal invariance. The universal scalingform is obtained analytically and used to compute the low-temperature universalproperties of the model in the large-N limit, such as the T=0 residual entropyand residual resistivity, and the critical exponents associated with thespecific heat and susceptibility. The connections with the ``non-crossingapproximation'' and the previous work of Cox and Ruckenstein are discussed.Comment: 39 pages, RevTeX, including 5 figures in encapsulated postscript  forma

physical review. b, condensed matter

Overscreened multichannel<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">SU</mml:mi><mml:mn /><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>Kondo model: Large-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>solution and conformal field theory

Overscreened multichannelSU(N)Kondo model: Large-Nsolution and conformal field theory