Superconducting transition temperature in two-dimensional doped repulsive Hubbard model: DCA+ simulations with continuous momentum dependence*

DCA+ algorithm extends the dynamical cluster approximation (DCA) with continuous lattice self-energy to ensure better convergence with cluster size and delay the occurrence of the severe sign problem. This new algorithm enables a systematic investigation of the phase diagram of 2D Hubbard model relevant to the high temperature superconductors. We calculate the superconducting transition temperature $T_{c}$ in the 2D repulsive Hubbard model on square lattice with nearest-neighbor hoppings for different doping levels, focussing on the intermediate correlation ($U/t=7$) regime.