  We propose a scheme to dynamically generate optical flux lattices with
nontrivial band topology using amplitude-modulated Raman lasers and
radio-frequency (rf) magnetic fields. By tuning the strength of Raman and rf
fields, three distinct phases are realized at unit filling for a unit cell.
Respectively, these three phases correspond to normal insulator, topological
Chern insulator, and semimetal. Nearly nondispersive bands are found to appear
in the topological phase, which promises opportunities for investigating
strongly correlated quantum states within a simple cold-atom setup. The
validity of our proposal is confirmed by comparing the Floquet quasienergies
from the evolution operator with the spectrum of the effective Hamiltonian.
