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Superconductivity by Exchange of Electronic Fluctuations

I will review the necessary requirements for S, P and D-wave supercon- ductivity and the conditions on Antiferromagnetic Fluctuations that determine the transitions temperature for D-wave Pairing. The recently measured spin-fluctuation spectrum near the Antiferromagnetic quantum-critical point in CeCu2Si2 is used to calculate Tc and the temperature dependence and the co- efficient of resistivity to substantiate the conclusions. Similar calculations show that the measured spin-fluctuation spectrum in the Cuprate high temperature superconductors cannot be responsible for their superconductivity or normal state anomalies.

The phase diagram of the Cuprates is reviewed pointing out the region of quantum-critical fluctuations and the order necessary in under-doped Cuprates to generate them. The theory of such an order, its quantum-critical fluctuations and the coupling of such fluctuations to fermions to generate the normal state anomalies and D-wave will be briefly described. The deduction of the fluctuation spectrum from inversion of Angle-Resolved Photoemission is also demonstrated.