Floquet engineering of long-range p -wave superconductivity: Beyond the high-frequency limit

It has been shown that long-range p-wave superconductivity in a Kitaev chain can be engineered via an ac field with a high frequency [M. Benito, Phys. Rev. B 90, 205127 (2014)PRBMDO1098-012110.1103/PhysRevB.90.205127]. For its experimental realization, however, theoretical understanding of Floquet engineering with a broader range of driving frequencies becomes important. In this paper, focusing on the ac-driven tunneling interactions of a Kitaev chain, we investigate effects from the leading correction to the high-frequency limit on the emergent p-wave superconductivity. Importantly, we find new engineered long-range p-wave pairing interactions that can significantly alter the ones in the high-frequency limit at long interaction ranges. We also find that the leading correction additionally generates nearest-neighbor p-wave pairing interactions with a renormalized pairing energy, long-range tunneling interactions, and, in particular, multiple pairs of Floquet Majorana edge states that are destroyed in the high-frequency limit.