Antiferromagnetism and d-wave superconductivity in cuprates: A cluster dynamical mean-field theory

We present an approach to investigate the interplay of antiferromagnetism a nd d-wave superconductivity in the two-dimensional Hubbard model within a n umerically exact cluster dynamical mean-field approximation. Self-consisten t solutions with two nonzero order parameters exist in a wide range of dopi ng level and temperatures. A linearized equation for the energy spectrum ne ar the Fermi level has been solved. The resulting d-wave gap has the correc t magnitude and k dependence, but some distortion compared to the pure d(x2 -y2) superconducting order parameter due to the presence of underlying anti ferromagnetic ordering.