Floquet engineering offers a versatile platform for realizing nonequilibrium topological phenomena in both quantum and classical-wave systems. Departing from common approaches that induce Floquet topological phases by tailoring hoppings or on-site potentials, we present an alternative scheme utilizing periodic modulation of the magnetic flux to induce rich topological features. Specifically, we consider two types of flux-dressed quasi-one-dimensional lattices: one with chiral symmetry and one with inversion symmetry. Using a two-step flux modulation protocol, we demonstrate the emergence of topological zero and $\pi$ modes in both systems. In the chiral-symmetric model, the bulk topology is fully described by the conventional and dynamical winding numbers, preserving the bulk-boundary correspondence. In the inversion-symmetric case, the phases are characterized by the quantized Zak phase, but edge modes may vanish even in topologically nontrivial phases. We further show that this breakdown can be recovered by double modulation. Our findings establish periodic flux modulation as a versatile and experimentally feasible tool for engineering Floquet topological matter.

Close

PrevNext

View figure in article

• Synthetic gauge fields
• Topological insulators
• Topological phases of matter
• Floquet systems