Pairing symmetry and superconductivity from long-range Coulomb interactions in the extended t-t'-t''-Jz model for cuprates

We investigate the pairing symmetry of the ground-state phase diagram of an extended two-dimensional $t$-$t'$-$t''$-$J_z$ model, in which the first-, second-, and third-nearest neighbor electron hopping terms ($t,t'$ and $t''$) and an anisotropic Ising-like antiferromagnetic interaction $J_z$ are tr