Topological characterization and stability of Floquet Majorana modes in Rashba nanowires

We theoretically investigate a practically realizable Floquet topological superconductor model based on one-dimensional Rashba nanowire and proximity-induced $s$-wave superconductivity in the presence of Zeeman field. The driven system hosts regular 0-Majorana end modes anomalous $\ensuremath{\pi}$-Majorana (MEMs). By tuning chemical potential frequency drive, we illustrate generation multiple MEMs our theoretical setup. utilize chiral symmetry operator to topologically characterize these via dynamical winding number constructed out periodized evolution operator. Interestingly, robustness 0- $\ensuremath{\pi}$-MEMs is established on-site time-independent random disorder potential. employ twisted boundary condition define invariant for this translational-symmetry broken system. interplay between driving weak can stabilize MEMs, giving rise quantized value finite range drive parameters. This observation might be experimentally helpful scrutinizing nature MEMs. showcase another protocol, namely, periodic kick potential, study Our work paves realistic way engineer