Many-body calculation of the spatial extent of the wave function of a nonmagnetic impurity in ad-wave high-temperature superconductor using thet−Jmodel

Abstract

Scanning tunneling microscopy ͑STM͒ by providing images of the effects of individual zinc impurities in cuprate superconductors with unprecedented atomic resolution offers a stringent test to models of correlated fermions for high-temperature superconductors. Using a t-J model supplemented by variational Monte Carlo many-body techniques, the spatial dependence of the hole density and of the valence bond and superconducting pairing amplitudes around the impurity are computed. Our calculation supplemented by the theory of interlayer tunneling by I. Martin et al. ͓Phys. Rev. Lett. 88, 097003 ͑2002͔͒ can explain most features of the STM experiments including the cross-shaped spatial structure and the impurity "resonant" peak.