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Scanning tunneling microscopy (STM) by providing images of the effects ofindividual zinc-impurities in cuprate superconductors with unprecedentedatomic-resolution offers a stringent test to models of correlated fermions forhigh-temperature superconductors. Using a t-J model supplemented by VariationalMonte Carlo many-body techniques, the spatial dependence of the hole densityand of the valence bond and superconducting pairing amplitudes around theimpurity are computed. A cross-shaped four-fold symmetric structure verysimilar to the observed STM observation is found, giving strong credit to themodel.

physical review. b, condensed matter and materials physics

Many-body calculation of the spatial extent of the wave-function of a  non-magnetic impurity in a d-wave high-temperature superconductor using the  t--J model