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We theoretically study the quasiparticle resonance states around anonmagnetic impurity in cuprate superconductors based on t-t'-J-U model. Thepurpose of introducing the Coulomb repulsive interaction U is to partiallyimpose the double occupancy constraint by employing the Gutzwiller projectedmean-field approximation. We determine the spatial variation of the orderparameter and the local density of states (LDOS) by self-consistently solvingBogoliubov-de Gennes equations. We find that in the large U limit, azero-energy resonance peak in the LDOS indeed appears for the impuritypotential in the unitary limit, at the same time the asymmetric superconductingcoherence peaks are strongly suppressed. As U decreases the electron doubleoccupancy d is permitted and gradually increases, leading to the decreasing oforder parameter. In particular the above zero-energy resonance peak begins toevolve into a double-peaked structure since a critical value $d_{c}$. Theseimportant feathers are qualitatively agreement with the scanning tunnelingspectroscopy experiments, and uncover the essential role played by the electroncorrelation in cuprate superconductors.

Electron correlation and impurity-induced quasiparticle resonance states in cuprate superconductors