Impurity Induced Kondo-like Screening in Cuprates

We study the magnetic response of \(t-t'-J\) model to a single nonmagnetic impurity using slave boson mean field theory, with restricted Bogoliubov-de-Gennes(BDG) method which allows us to deal with the strong correlations and reduction of order parameters around the impurity self-consistently. The temperature dependence of the paramagnetic susceptibility \(\chi\) follows a Kondo-like form \(1/(T+\Theta)\), where the screening temperature \(\Theta\) increases with increasing doping. Both this form and the magnitude of \(\chi\) are consistent with NMR experiments in the normal state of Zn doped YBCO.