Solution of the Kondo problem for an orbital singlet

Wiegmann P. B., Tsvelik A. M.

An exact solution is derived for the behavior of an alloy of a normal metal with a small admixture *d *of a magnetic impurity in an orbital singlet state. The solution is generalized to an arbitrary impurity spin *S. *Under the condition *2S>21 *+1, where / is the orbital angular momentum of the unfilled shell of the impurity ion, the Gell-Mann-Low function vanishes at some finite point. A nontrivial scaling, first observed in a one-dimensional quantum many-body system, is analyzed on the basis of the exact solution.