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In high-temperature cuprate superconductors, superconductivity is accompaniedby a "plethora of orders", and phenomena that may compete, or cooperate withsuperconductivity, but which certainly complicate our understanding of originsof superconductivity in these materials. While prominent in the underdopedregime, these orders are known to significantly weaken or completely vanishwith overdoping. Here, we approach the superconducting phase from the moreconventional highly overdoped side. We present angle-resolved photoemissionspectroscopy (ARPES) studies of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ (Bi2212)single crystals cleaved and annealed in ozone to increase the doping all theway to the metallic, non-superconducting phase. We show that the massrenormalization in the antinodal region of the Fermi surface, associated withthe structure in the quasiparticle self-energy, that possibly reflects thepairing interaction, monotonically weakens with increasing doping andcompletely disappears precisely where superconductivity disappears. This is thedirect evidence that in the overdoped regime, superconductivity is determinedby the coupling strength. A strong doping dependence and an abruptdisappearance above the transition temperature ($T_{\mathrm c}$) eliminate theconventional phononic mechanism of the observed mass renormalization andidentify the onset of spin-fluctuations as its likely origin.

Disappearance of Superconductivity Due to Vanishing Coupling in the Overdoped Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$