Disorder induced topological phase transition in a driven Majorana chain

Abstract

We study a periodically driven one dimensional Kitaev model in the presence of disorder. In the clean limit our model exhibits four topological phases corresponding to the existence or non-existence of edge modes at zero and pi quasienergy. When disorder is added, the system parameters get renormalized and the system may exhibit a topological phase transition. When starting from the Majorana $\pi$ Mode (MPM) phase, which hosts only edge Majoranas with quasienergy pi, disorder induces a transition into a neighboring phase with both pi and zero modes on the edges. We characterize the disordered system using (i) exact diagonalization (ii) Arnoldi mapping onto an effective tight binding chain and (iii) topological entanglement entropy