Braiding Floquet Majorana Modes in 1D Topological Superconductors

Recent work has established that Majorana zero modes can be braided in a single, clean Kitaev chain with a Floquet drive. Essential to this braiding protocol is the use of Majorana π modes, which are unique to Floquet systems, as an additional degree of freedom. In our work, we explore the consequences of introducing disorder and interactions into the braiding protocol developed by Ref. [1]. Furthermore, we investigate several methods of transporting Majorana modes across the chain with a focus towards their impact on the success of the braiding protocol.

[1] B. Bauer et al., Phys. Rev. B 100, 041102 (2019)