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We analyze, analytically and numerically, a periodically driven Rashbananowire proximity coupled to an $s$-wave superconductor using bosonization andrenormalization group analysis in the regime of strong electron-electroninteractions. Due to the repulsive interactions, the superconducting gap issuppressed, whereas the Floquet Zeeman gap is enhanced, resulting in a highereffective value of $g$-factor compared to the non-interacting case. The flowequations for different coupling constants, velocities, and Luttinger-liquidparameters explicitly establish that even for small initial values of theFloquet Zeeman gap compared to the superconducting proximity gap, theinteractions drive the system into the topological phase and the interbandinteraction term helps to achieve larger regions of the topological phase inparameter space.

Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires