Floquet topological phase transitions in a periodically quenched dimer
Milad Jangjan, Luis E. F. Foa Torres, Mir Vahid Hosseini
Abstract
We report on the theoretical investigation of the topological properties of a periodically quenched one-dimensional dimerized lattice where a piecewise constant Hamiltonian switches from ${h}_{1}$ to ${h}_{2}$ at a partition time ${t}_{p}$ within each driving period $T$. We examine different dimerization patterns for ${h}_{1}$ and ${h}_{2}$ and the interplay with the driving parameters that lead to the emergence of topological states both at zero energy and at the edge of the Brillouin-Floquet quasienergy zone. We illustrate different phenomena, including the occurrence of both edge states in a semimetal spectrum, the topological transitions, and the generation of zero-energy topological states from trivial snapshots. The role of the different symmetries in our results is also discussed.