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Correlation of Novel Micron-scale Ribbon-like Phase and TC in Bi2Sr2CaCu2O8+ Superconductor Yang Ding HPSTAR, Haidian, Beijing, China Cuprate high-temperature superconductors (HTSC) are among the most extensively studied complex quantum systems. However, the underlying superconducting mechanism of these materials and the key parameters controlling their critical transition temperature (TC) remain elusive. The challenges in studying these topics can stem from a lack of comprehensive information on structural inhomogeneity.1 So far, a direct experimental evidence linking the role of lattice inhomogeneity and superconductivity is still missing, which is largely due to experimental limitations.2 Here we report the discovery with hard x-ray nano-imaging3,4 of a novel micron-scale ribbon-like phase intercalating with the modulated structure of single-crystal Bi2Sr2CaCu2O8+ (Bi-2212). The morphology of the ribbon-like phase evolves coincidentally with the dome-shaped behavior of TC under external pressure. We also find that nanoscale short-range ordering induced by long-time exposure of the sample to x-ray radiation directly affects TC, while the drop in TC at high pressure still ties to the morphology of the ribbon-like phase. These results provide unambiguous evidences of close correlation between TC and optimal inhomogeneity at different length scales in cuprate HTSC.