Signatures of Floquet Majorana Fermions in Planar Josephson Junctions*

We show how Floquet Majorana fermions may be experimentally realized in a periodically driven solid state platform. We consider a planar Josephson junction formed via a superconducting-proximitized 2D electron gas (2DEG) with Rashba spin-orbit coupling and in-plane Zeeman field. Using bulk Floquet topological invariants we analyze the number of zero and pi Majorana modes for experimentally realistic parameters. Then we describe several experimental signatures of these exotic modes in finite wires, including differential conductance and local density of states. Notably, features in these quantities exhibit sub-harmonic responses to the drive.