Scanning tunneling spectroscopy (STS) is used to study changes in the spati
al distribution of the density of states in high-temperature superconductor
s as a function of oxygen and hydrogen doping. The STS data correlate well
with macroscopic transport measurements. Upon oxygen doping, STS exhibits a
n overall increase in the superconducting gap, in agreement with the raisin
g of T-C. Small hydrogen doping lowers T-C until the samples become insulat
ing at high concentrations. At the same time, STS images show a development
of insulating regions which coalesce as the doping is increased. This sugg
ests that the superconductor to insulator transition takes place in a perco
lative fashion, even though the samples are nominally single phase. (C) 200
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