CM-AMO SEMINAR | Transport Signatures of Floquet Majorana Fermions in Driven Topological Superconductors

Topologically nontrivial steady bound states may arise when a topologically trivial system is driven periodically. In the superconducting state, these are equal mixtures of electrons and holes known as Floquet Majorana fermions. I will discuss our recent work on the non-equilibrium transport through Floquet Majorana fermions and show, both analytically and numerically, that their presence is signaled by a quantized conductance sum rule over discrete values of bias differing by multiple absorption or emission energies at drive frequency. We also study the effects of disorder on this quantization and suggest that it could help identify the topological signatures of Floquet Majorana fermions. Time permitting, related results at finite temperature and low drive frequencies will be discussed.