Floquet Winding Metals

We propose a generic scattering matrix model implementable in photonics to engineer a new Floquet metallic phase that combines two distinct topological properties: the winding of the bulk bands and the existence of robust chiral edge states. The winding of the bulk bands gives rise to a wavepacket oscillations in real space while conserving its initial momentum. Our findings open the way to the study of a new class of winding Floquet systems.