Fig. 1 Phase diagram and FS topologies.

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Fig. 1 Phase diagram and FS topologies. Phase diagram and FS topologies. (A) Magnetic and electronic phase diagram for NCCO with standard reduction condition. The vertical green dashed line shows the boundary between the (1) LR-AF phase (x < 0.12) and the mixed-phase region with static short-range AF order and traces of superconductivity (0.12 ≤ x < 0.145). The empty green circle signifies the Ce concentration at which (2) bulk superconductivity emerges and the magnetic response is purely dynamic (0.145 ≤ x < 0.175) (22). A sign change in Hall coefficient is observed at x = 0.145 (6). The gray dot shows the estimated Ce concentration of the Lifshitz transition to a (3) state with a large hole FS (x ≥ 0.175) (6, 17, 18, 20, 31). Solid and dashed lines on horizontal axis indicate distinct FS topologies described in (B). (B) FS topologies corresponding to the three doping ranges in (A). Solid (x < 0.12) and dashed (0.145 ≤ x < 0.175) diagonal black lines indicate the LR-AF zone boundary and dynamic AF fluctuations, respectively. Blue and red curves indicate electron and hole FS, respectively. n and p are electron and hole carrier densities, respectively. Contour plot of (C) b2 and (D) DMR. A considerable increase in both b2 and DMR is observed above x ≈ 0.145. Color scheme of the contour plots is chosen to emphasize these considerable increases. Black bars (top) indicate the Ce concentrations of the measured NCCO samples. Yangmu Li et al. Sci Adv 2019;5:eaap7349 Copyright © 2019 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC).