Abstract

The key ingredients in any superconductor are the Cooper pairs, in which two electrons combine to form a composite boson. In all conventional superconductors the pairing strength alone sets the majority of the physical properties including the superconducting transition temperature Tc_c. In the cuprate high temperature superconductors, no such link has yet been found between the pairing interactions and Tc_c. Using a new variant of photoelectron spectroscopy we measure both the pair-forming (ΔΔ) and a self energy/pair-breaking term (ΓsΓ_s) as a function of sample type and sample temperature, and we make the measurements over a wide range of doping and temperatures within and outside of the pseudogap/competing order doping regimes. In all cases we find that Tc_c is approximately set by a crossover between the pair-forming strength ΔΔ and 3 times the self-energy term ΓsΓ_s - a new paradigm for superconductivity. In addition to departing from conventional superconductivity in which the pairing alone sets Tc_c, these results indicate the zero-order importance of the near-nodal self-energy effects compared to competing order/pseudogap effects.

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