Fractional Chern insulator phase at the transition between checkerboard and Lieb lattices
Fractional Chern insulator phase at the transition between checkerboard and Lieb lattices
The stability of the $\ensuremath{\nu}=1/3$ fractional Chern insulator (FCI) phase is analyzed on the example of a checkerboard lattice undergoing a transition into a Lieb lattice. The transition is performed by the addition of a second sublattice, whose coupling to the checkerboard sites is controlled by sublattice staggered potential. We …