The electronic and magnetic structures of bilayer La${}_3$Ni${}_2$O${}_7$ at ambient pressure

We carry out a systematic study of the electronic and magnetic structure of the ambient-pressure bilayer La${}_3$Ni${}_2$O${}_7$. Employing the hybrid exchange-correlation functional, we show that the exchange-correlation pushes the bonding $d_{z^2}$ bands below the Fermi level to be fully occupied. The calculated Fermi surfaces and the correlation normalized band structure match well with the experimental findings at ambient pressure. Moreover, the electronic susceptibility calculated for this new band structure features nesting-induced peaks near the wave vector $Q=(\pi \mathrm{/}2,\pi \mathrm{/}2)$, suggesting a possible density wave instability in agreement with recent experiments. Through a mean field study and DFT+U calculation introducing a Hubbard U interaction within conventional density functional theory, we confirm the spin-charge intertwined double stripe order is the magnetic ground state. Our results provide a faithful description for the low-pressure La${}_3$Ni${}_2$O${}_7$ electronic structure.