“…Such an ab initio hierarchical scheme has proven useful and successful for a wide range of materials questions 4, 23 , from transition metals [24][25][26][27][28] , their oxides [29][30][31][32][33][34][35] , sulphides 36 , pnictides [37][38][39][40][41][42][43][44][45] , rare earths [46][47][48] and their compounds [49][50][51][52] , including heavy fermions 53,54 , actinides [55][56][57] and their compounds 58 to organics [59][60][61][62] , correlated semiconductors 63,64 , spin-orbit materials [65][66][67] and correlated surfaces and interfaces 68,69 . In this hierarchical scheme such as the DFT+DMFT, an effective Hamiltonian within a low-energy window around the Fermi level is obtained using the DFT, and this Hamiltonian is then solved by a...…”