Observation of quasiparticles for phase incoherent d-wave pairing in Bi2212

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In contrast to a complex feature of antinodal state, suffering from competing order(s), the "pure" pairing gap of cuprates is detected in the nodal region, which therefore holds the key to the superconducting mechanism. The pairing gap has been viewed to be rather conventional, closing at the superconducting transition temperature (Tc). However, the density of states contributed from the nodal region was claimed to have a gap-like structure even above Tc. Here we present a missing evidence for a single-particle gap near the node signifying the realization of a phase incoherent d-wave superconductivity above Tc in the optimally doped Bi2Sr2CaCu2O8+d. We find that the pair formation is formulated by momentum-independent temperature evolutions of three parameters: a BCS-type energy gap (Delta), a single particle scattering rate (Gammaₛingle) and a pair breaking rate (Gammaₚair). The superconductivity occurs when the Gammaₚair value is suppressed smaller than Gammaₛingle on cooling, and the magnitude of Tc in cuprates is governed by a condition of Gammaₛingle(Tc)=Gammaₚair(Tc).