Exact results for a Kondo impurity with electronic correlations

It is known that the study of exact solutions is useful to the understanding of nonperturbative effects in the strongly correlated electronic systems. The exact solution of the onedimensional Kondo model with linearized dispersion and no correlations between electrons was found in Refs. 1 and 2. In this paper, we study the problem of a Kondo impurity with arbitrary spin in the presence of the electronic correlations. We show that the model is exactly solvable at some value of electron-impurity coupling. Using Bethe ansatz, we solve the secular equations for the spectrum with periodic boundary conditions. The ground state as well as the magnetic susceptibility at zero temperature is calculated. We focus on a system described by the Hamiltonian