Prevailing Charge Order in Overdoped La_2-xSr_xCuO₄ beyond the Superconducting Dome

The extremely overdoped cuprates are generally considered to be Fermi liquid metals without exotic orders, whereas the underdoped cuprates harbor intertwined states. Contrary to this conventional wisdom, using Cu L-3-edge and O K-edge resonant x-ray scattering, we reveal a charge order (CO) correlation in overdoped La2-xSrxCuO4 (0.35 <= x <= 0.6) beyond the superconducting dome. This CO has a periodicity of similar to 6 lattice units with correlation lengths of similar to 20 lattice units. It shows similar in-plane momentum and polarization dependence and dispersive excitations as the CO of underdoped cuprates, but its maximum intensity differs along the c direction and persists up to 300 K. This CO correlation cannot be explained by the Fermi surface instability and its origin remains to be understood. Our results suggest that CO is prevailing in the overdoped metallic regime and requires a reassessment of the picture of overdoped cuprates as weakly correlated Fermi liquids.