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We investigate the spatial and doping evolutions of the superconductingproperties of tri-layer cuprate Bi2Sr2Ca2Cu3O10+x by using scanning tunnelingmicroscopy and spectroscopy. Both the superconducting coherence peak and gapsize exhibit periodic variations with the structural supermodulation, but theeffect is much more pronounced in the underdoped regime than at optimal doping.Moreover, a new type of tunneling spectrum characterized by two superconductinggaps emerges with increasing doping, and the two-gap features also correlatewith the supermodulation. We propose that the interaction between theinequivalent outer and inner CuO2 planes is responsible for these novelfeatures that are unique to tri-layer cuprates.

Effect of structural supermodulation on superconductivity in tri-layer cuprate Bi2Sr2Ca2Cu3O10+x