Wave-packet dynamics and edge-state transport in anomalous Floquet topological phases

The topological characterisation of periodically driven Floquet systems goes beyond equilibrium classification schemes, offering anomalous topological phases without static counterparts. In recent years, the possibility of obtaining chiral edge modes even for bands with vanishing Chern number has attracted a lot of attention both theoretically and experimentally. We here consider a periodically driven honeycomb lattice and provide general phase diagrams for experimentally relevant driving protocols. We reveal yet another type of anomalous topological phase where quasienergy gaps harbour edge states with opposite chirality and investigate wave packet dynamics in different anomalous phases. Focusing on distinct dynamics, we analyse transport properties in relation to each other by comparing various Floquet spectra featuring topological edge states of different characters.