Resilience of d -wave superconductivity to nearest-neighbor repulsion

Many theoretical approaches find d-wave superconductivity in the prototypical one-band Hubbard model for high-temperature superconductors. At strong coupling (U > W, where U is the on-site repulsion and W = 8t the bandwidth) pairing is controlled by the exchange energy J = 4t super(2)/U. One may then surmise, ignoring retardation effects, that near-neighbor Coulomb repulsion V will destroy superconductivity when it becomes larger than J, a condition that is easily satisfied in cuprates, for example. Using cellular dynamical mean-field theory with an exact diagonalization solver for the extended Hubbard model, we show that pairing at strong coupling is preserved, even when V >> J, as long as V [