The influence of tunneling matrix element modification due to on-site Coulomb interaction on local tunneling conductivity

► Tunneling conductivity in the vicinity of an impurity atom was investigated. ► Tunneling through the impurity state with deep and shallow energy levels was analyzed. ► On-site Coulomb interaction and hopping matrix elements were taken into account. ► Tunneling transfer amplitude modification strongly affects tunneling conductivity. ► Comparison with calculations based on non-modified models is also presented.