Electronic correlations in promising room-temperature superconductor Pb$_9$Cu(PO$_4$)$_6$O: a DFT+DMFT study

Abstract: We present results of the first investigations on the correlated nature of electronic states that cross the Fermi level in Pb$9$Cu(PO$_4$)$_6$O aka LK-99 obtained within the DFT + DMFT approach. Coulomb correlations between Cu-$d$ electrons led to the opening of the band gap between the extra-O $p$ and Cu $d{xz}/d_{yz}$ states. We state that oxygen $p$ states play a significant role in the electronic properties of LK-99. We also assume that doping with electrons is necessary to turn the stoichiometric Pb$_9$Cu(PO$_4$)$_6$O into conducting state.