Predicting large-Chern-number phases in a shaken optical dice lattice

With respect to the quantum anomalous Hall effect (QAHE), the detection of topological nontrivial large-Chern-number phases is an intriguing subject. Motivated by recent research on Floquet topological phases, this study proposes a periodic driving protocol to engineer large-Chern-number phases using the QAHE. Herein, spinless ultracold fermionic atoms are studied in a two-dimensional optical dice lattice with nearest-neighbor hopping and a Lambda- or V-type sublattice potential subjected to a circular driving force. Results suggest that large-Chern-number phases exist with Chern numbers C = -3, which is consistent with the edge-state quasienergy spectra.