Center for High-Pressure Science & Technology Advanced Research, Beijing, , P.R. China

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1 Supporting Materials Evolution of a Novel Ribbon Phase in Optimally Doped Bi 2 Sr 2 CaCu 2 O 8+ at High Pressure and its Implication to High-T C Superconductivity Jianbo Zhang 1, Yang Ding 1,*, Cheng-Chien Chen 2, Zhonghou Cai 3, Jun Chang 4, Bijuan Chen 1, Xinguo Hong 1, Andrei Fluerasu 5, Yugang Zhang 5, Ching-Shun Ku 6, Dale Brewe 3, Steve Heald 3, Hirofumi Ishii 6, Nozomu Hiraoka 6, Tsuei Ku-Ding 6, Wenjun Liu 3, Zhan Zhang 3, Yong Q Cai 5, Genda Gu 7, Tetsuo Irifune 8,9 and Ho-kwang Mao 1,10 1 Center for High-Pressure Science & Technology Advanced Research, Beijing, , P.R. China 2 Department of Physics, University of Alabama at Birmingham, Birmingham, Alabama 35294, USA 3 Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60439, USA 4 College of Physics and Information Technology, Shaanxi Normal University, Xi an , P.R. China 5 National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, New York 11973, USA 6 National Synchrotron Radiation Research Center, Hsinchu 30076, Taiwan 7 Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA 8 Geodynamics Research Center, Ehime University, 2 5 Bunkyo-cho, Matsuyama , Japan 9 Earth-Life Science Institute, Tokyo Institute of Technology, Tokyo , Japan S1

2 10 Geophysical Laboratory, Carnegie Institution of Washington, Washington, D.C , USA Figure S-1. Bi-2212 unit cell and incommensurate modulation of the bulk crystal. a, The unit cell of Bi 2 Sr 2 CaCu 2 O 8+ based on Ref. [21]. b, Schematic view along the crystal b-axis showing representative displacements of all non-o atoms. Supermodulation can be seen in both the a- and c-directions. c, The [0,0,1] zone axis diffraction pattern of Bi-2212 taken along it c-axis with 100 kev x-ray. The pattern shows the existences of both base peaks (i.e. (100), (200), (020)) and modulation peaks (0, , 0). The diffraction peaks on the solid lines are from another crystal domain that shares the c-axis with the labeled crystal but rotated along the c-axis by about 13 degrees. S2

3 Figure S-2. X-ray diffraction contrast map and elemental maps obtained by x-ray fluorescence microscopy measurements. a, The summed diffraction contrast map. b, The elemental map of Cu. c, The elemental map of Bi. d, The elemental map of Sr. Each map size is 40 microns x 80 microns (VxH). Since the fluorescence maps do not show any apparent fluctuation in chemical composition, this ribbon-like pattern in the contrast map is most likely associated with lattice inhomogeneity. S3

4 Figure S-3. Temperature-dependent electrical resistance R ab of non-irradiated and irradiated Bi single crystals at selected pressures shown in Figure S-3 (a) and (b). The arrow in the inset of Figure S-3 (a) indicates Tc at ambient condition. The values of Tc are listed in Table S-1. Table S-1. High-pressure electric resistance measurements. Non-irradiated single-crystal Pressure (GPa) Error* Tc (K) Error Irradiated Bi2212 single-crystal with short range ordering Pressure (GPa) Error* Tc(K) Error *The error was estimated by two pressure read values: one before the transport measurement and the other after the measurement. The actual pressure and error are taken as the average and difference of the two pressure reads, respectively. For non irradiated samples, the pressure is only recorded once before the transport measurements. The error is estimated as 0.5 GPa, which is usually reasonable for pressure below 10 GPa. S4

5 Figure S-4. Peak fitting analysis of small-angle scattering experimental data collected respectively at a, 3.10 GPa; b, 3.54 GPa; c, 4.35 GPa; d, 5.65 GPa. Table S-2. Results from peak fitting analysis of small-angle scattering experimental data. Pressure (GPa) Error Location (nm -1 ) Error (nm -1 ) Width (nm -1 ) Error (nm -1 ) S5

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