High Chern numbers in a perovskite-derived dice lattice (La$X$O${}_3$)${}_3$/(LaAlO${}_3$)${}_3$(111) with $X=$ Ti, Mn and Co

Okan Köksal, L. L. Li, Rossitza Pentcheva

The dice lattice, containing a stack of three triangular lattices, has been proposed to exhibit nontrivial flat bands with nonzero Chern numbers, but unlike the honeycomb lattice i…