Abstract
We calculate the gap energy of YBa2Cu3O7, as a function of λ and μ*, by means of the strong coupling theory of superconductivity. Setting Tc fixed at the experimental value, fixes λ for every μ*, resulting in the gap energy as a function of one free parameter. Negative values of μ* are also analysed to include the possibility of non-phononic mechanisms into the analysis. The effect of anisotropy is approximately evaluated. We find that the function Δ(μ*) has asymptotic maximum of roughly 3kTc. This is significantly lower than most of the reliable experimental results. We conclude that the strong coupling theory of superconductivity is inconsistent with the electron-phonon interaction in YBa2Cu3O7. This conclusion is subject to uncertainties resulting from the non-uniformity of Δ, and from our simple approximation of anisotropy.
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