The process of the self-consistent calculation for the ruby lattice. Iteration loop of the self-consistent calculation based on the CDMFT and the CTQMC are presented in detail. The self-consistent calculations start with a guessed tiny self-energy Σ ( i ω ) . Weiss field g ( i ω ) is given by the coarse-grained Dyson equation and the cluster Green function G ( i ω ) is obtained by continuous-time quantum Monte-Carlo algorithm.