Abstract

The effects of a nonmagnetic Zn impurity substituting an inplane Cu are studied with the t– t ′– U– J Hamiltonian, with the impurity modeled as a potential scatterer near unitary limit. The Bogoliubov–de Gennes equation in real space was derived from the model and solved self-consistently with the d-wave pairing, bond, charge, and spin order parameters included. We found that (1) the local density of states at the impurity site does not show a resonant state near zero energy, (2) the observed negative slope in the tunneling density of states as a function of bias voltage is due to the next-nearest hopping t ′, and (3) local antiferromagnetic moments are induced around the impurity. These results are discussed in comparison with the experimental observations.

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