Abstract

We present a theory of the Kondo effect in the cuprate superconductors caused by an induced magnetic moment near nonmagnetic impurities such as Zn and Li. Based on the coexistence of charge order and superconductivity, a natural description of the induced moment and the resulting Kondo effect is obtained in the framework of the bond-operator theory of the microscopic $t\ensuremath{-}J\ensuremath{-}V$ Hamiltonian. The local density of states near impurities is computed in a self-consistent Bogoliubov-de Gennes theory which shows a low-energy peak in the middle of superconducting gap. Our theory also suggests that the amplitude of charge order is enhanced near impurities.

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