Topological Properties of an Extend Su-Schrieffer-Heeger Model Under Periodic Kickings

One dimensional topological systems with extended periodically modulated parameters can be used to simulate and investigate two dimensional or other higher dimensional topological systems. In this paper, topological properties of an extended SSH model under the periodic δ -function kickings with X -direction, Y -direction, and Z -direction defined by pseudo-spin expression of the Hamiltonian in momentum space, has been explored. We find that, by modulating driven parameters and periodic δ -function kickings in such extended system, fruitful phase diagrams and topological states with higher Chern numbers can be introduced. In the case of X -direction kicking and Z -direction kicking, topological phase diagram will be changed but Chern numbers remain as 0 and ± 1, while for Y -direction kickings, large Chern numbers ± 2 can emerge. This is an extended study of using periodic kickings to obtain fruitful topological phases and large Chern number states in simulate two-dimensional systems.