Abstract
We study the large-$N$ limit of the Coqblin-Schrieffer model in a nonzero magnetic field at zero temperature. We show that at $N=\ensuremath{\infty}$ the model exhibits an unphysical singularity in the magnetization curve when the field lifts the degeneracy completely. However, if the spin degeneracy is lifted, leaving a large orbital degeneracy untouched, a smooth Kondo crossover is recovered.
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