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The phenomenology of overdoped high Tc superconductors can be described by aone band d wave Eliashberg theory where the mechanism of superconductingcoupling is mediated by antiferromagnetic spin fluctuations and whosecharacteristic energy Omega0 scales with Tc according to the empirical lawOmega0 = 5.8 kBTc. This model presents universal characteristics that areindependent of the critical temperature such as the link between the s and dcomponents of electron boson coupling constants and the invariance of the ratio2Delta/kBTc.

Constrains on s and d components of electron boson coupling constants in one band d wave Eliashberg theory for high Tc superconductors