Spin and orbital ordering in bilayer Sr${}_3$Cr${}_2$O${}_7$

A. A. Aligia, C. Helman

Using maximally localized Wannier functions obtained from DFT calculations, we derive an effective Hubbard Hamiltonian for a bilayer of Sr${}_3$Cr${}_2$O${}_7$, the $n=2$ member of the R…