d-wave superconductivity in the Hubbard model

The superconducting instabilities of the doped repulsive 2D Hubbard model a re studied in the intermediate to strong coupling regime with the help of t he dynamical cluster approximation. To solve the effective cluster problem we employ an extended noncrossing approximation, which allows for a transit ion to the broken symmetry state. At sufficiently low temperatures we find stable d-wave solutions with off-diagonal long-range order. The maximal T-c approximate to 150 K occurs for a doping delta approximate to 20% and the doping dependence of the transition temperatures agrees well with the gener ic high-T-c phase diagram.