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

Abstract

It has been shown that long-range {\it p}-wave superconductivity in a Kitaev chain can be engineered via an ac field with a high frequency [Benito et al., Phys. Rev. B 90, 205127 (2014)]. For its experimental realization, however, theoretical understanding of Floquet engineering with a broader range of driving frequencies becomes important. In this work, 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 {\it p}-wave superconductivity. Importantly, we find new engineered long-range {\it 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 {\it 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.

13 pages, 8 figures

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Cited by in corpus (17)

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• Simulation of 1D topological phases in driven quantum dot arrays
• Current transport properties and phase diagram of a Kitaev chain with long-range pairing
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Edge insulating topological phases in a two-dimensional long-range superconductor
• Chiral limits and effect of light on the Hofstadter butterfly in twisted bilayer graphene
• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Softening of Majorana edge states by long-range couplings
• Topological quantum interference in a pumped Su-Schrieffer-Heeger lattice
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Floquet engineering multi-channel Kondo physics
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• Floquet analysis of time-averaged trapping potentials
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Low-frequency and Moiré Floquet engineering: a review
• Floquet engineering and non-equilibrium topological maps in twisted trilayer graphene
• Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity