  The parent compounds of the copper oxide high-Tc superconductors are unusual
insulators. Superconductivity arises when they are properly doped away from
stoichiometry1. In Bi2Sr2CaCu2O8+x, superconductivity results from doping with
excess oxygen atoms, which introduce positive charge carriers (holes) into the
CuO2 planes, where superconductivity is believed to originate. The role of
these oxygen dopants is not well understood, other than the fact that they
provide charge carriers. However, it is not even clear how these charges
distribute in the CuO2 planes. Accordingly, many models of high-Tc
superconductors simply assume that the charge carriers introduced by doping
distribute uniformly, leading to an electronically homogeneous system, as in
ordinary metals. Here we report the observation of an electronic inhomogeneity
in the high-Tc superconductor Bi2Sr2CaCu2O8+x using scanning tunnelling
microscopy/spectroscopy. This inhomogeneity is manifested as spatial variations
in both the local density of states spectrum and the superconducting energy
gap. These variations are correlated spatially and vary on a surprisingly short
length scale of ~ 14 Angs. Analysis suggests that the inhomogeneity observed is
a consequence of proximity to a Mott insulator resulting in poor screening of
the charge potentials associated with the oxygen ions left behind in the BiO
plane after doping. Hence this experiment is a direct probe of the local nature
of the superconducting state, which is not easily accessible by macroscopic
measurements.
