Charge-density-wave order takes over antiferromagnetism in Bi₂Sr_2-x La _x CuO₆ superconductors

Superconductivity appears in the cuprates when a spin order is destroyed, while the role of charge is less known. Recently, charge density wave (CDW) was found below the superconducting dome in YBa₂Cu₃O _y when a high magnetic field is applied perpendicular to the CuO₂ plane, which was suggested to arise from incipient CDW in the vortex cores that becomes overlapped. Here by ⁶³Cu-nuclear magnetic resonance, we report the discovery of CDW induced by an in-plane field, setting in above the dome in single-layered Bi₂Sr_2-x La _x CuO₆. The onset temperature T _CDW takes over the antiferromagnetic order temperature T _N beyond a critical doping level at which superconductivity starts to emerge, and scales with the pseudogap temperature T*. These results provide important insights into the relationship between spin order, CDW and the pseudogap, and their connections to high-temperature superconductivity.