Abstract

Using the Hubbard model Hamiltonian we study spin-fluctuation exchange-induced superconductivity of d-wave symmetry. Results are presented for the characteristic temperature T* at which a gap appears in the spectral density, for T*(c) at which Cooper-pairs are formed, for T-c at which Cooper pairs become phase coherent, and for the superfluid density n(s). We find that, with increasing doping, for x>0.15 the phase coherence energy becomes larger than the Cooper-pair condensation energy. Accordingly, one has T(c)proportional ton(s) for x Delta for the overdoped cuprates. We use our results to discuss dynamics and recent dynamical conductivity and ultrafast nonequilibrium measurements.

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