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Superconductivity appears in the cuprates when a spin order is destroyed,while the role of charge is less known. Recently, charge density wave (CDW) wasfound below the superconducting dome in YBa$_2$Cu$_3$O$_y$ when a high magneticfield is applied perpendicular to the CuO$_2$ plane, which was suggested toarise from incipient CDW in the vortex cores that becomes overlapped. Here, by$^{63}$Cu-nuclear magnetic resonance, we report the discovery of CDW induced byan in-plane field that does not create vortex cores in the plane, setting inabove the dome in single-layered Bi$_2$Sr$_{2-x}$La$_x$CuO$_6$.The onsettemperature $T_{\rm CDW}$ takes over the antiferromagnetic order temperature$T_{\rm N}$ beyond a critical doping level at which superconductivity starts toemerge, and scales with the psudogap temperature $T^{*}$. These results provideimportant insights into the relationship between spin order, CDW and thepseudogap, and their connections to high-temperature superconductivity.

Charge-density-wave order takes over antiferromagnetism in Bi$_2$Sr$_{2-x}$La$_x$CuO$_{6}$ superconductors