Abstract
The doping dependence of the superconducting state for the 2D one-band Hubbard Hamiltonian is determined. By using an Eliashberg theory within the FLEX approximation, we find that the gap function Δ k has a d x 2− y 2 symmetry and T c becomes maximal for 13% doping. Furthermore, we find a strong interplay between d-wave superconductivity and short range anitferromagnetic order leading to the appearance of shadow states below T c . Since we determine the dynamical excitations directly from real frequency axis calculations, we obtain new results for the spectral density of states that explain the anomalous behavior of photoemission and tunneling experiments.
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