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.