Abstract
Conventional superconductivity is robust against the addition of impurities unless the impurities are magnetic in which case superconductivity is quickly suppressed. Here we present a study of the cuprate superconductor Bi${}_{2}$Sr${}_{2}$Ca${}_{1}$Cu${}_{2}$O${}_{8+\ensuremath{\delta}}$ that is intentionally doped with the magnetic impurity, Fe. Through the use of our tomographic density of states technique, we find that while the superconducting gap magnitude is essentially unaffected by the inclusion of iron, the onset of superconductivity, ${T}_{\mathrm{C}}$, and the pair-breaking rate are strongly dependent and correlated. These findings suggest that, in the cuprates, the pair-breaking rate is critical to the determination of ${T}_{\mathrm{C}}$ and that magnetic impurities do not disrupt the strength of pairing but rather the lifetime of the pairs.
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