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Proximity to a Mott insulating phase is likely to be an important physicalingredient of a theory that aims to describe high-temperature superconductivityin the cuprates. Quantum cluster methods are well suited to describe the Mottphase. Hence, as a step towards a quantitative theory of the competitionbetween antiferromagnetism (AFM) and d-wave superconductivity (SC) in thecuprates, we use Cellular Dynamical Mean Field Theory to compute zerotemperature properties of the two-dimensional square lattice Hubbard model. Thed-wave order parameter is found to scale like the superexchange coupling J foron-site interaction U comparable to or larger than the bandwidth. The orderparameter also assumes a dome shape as a function of doping while, by contrast,the gap in the single-particle density of states decreases monotonically withincreasing doping. In the presence of a finite second-neighbor hopping t', thezero temperature phase diagram displays the electron-hole asymmetriccompetition between antiferromagnetism and superconductivity that is observedexperimentally in the cuprates. Adding realistic third-neighbor hopping t''improves the overall agreement with the experimental phase diagram. Since bandparameters can vary depending on the specific cuprate considered, thesensitivity of the theoretical phase diagram to band parameters challenges thecommonly held assumption that the doping vs T_{c}/T_{c}^{max} phase diagram ofthe cuprates is universal. The calculated ARPES spectrum displays the observedelectron-hole asymmetry. Our calculations reproduce important features ofd-wave superconductivity in the cuprates that would otherwise be consideredanomalous from the point of view of the standard BCS approach.Comment: 13 pages, 7 figure

Anomalous superconductivity and its competition with antiferromagnetism in doped Mott insulators