Effects of Disorder on a 1-D Floquet Symmetry Protected Topological Phase

Understand

Periodically driven systems, also known as Floquet systems, can realize symmetry protected topological (SPT) phases that cannot be found in equilibrium.

• Here, we seek to understand the effects of strong disorder on such SPT phases, working with a one-dimensional Floquet system belonging to Altland-Zirnbauer class BDI.
• Using the transfer matrix method, we find that the disordered system hosts an array of trivial, topological, and Floquet topological phases.
• We then explore the phase diagram in the case of uniformly distributed bonds.