Generating end modes in a superconducting wire by periodic driving of the hopping

Abstract

We show that harmonic driving of either the magnitude or the phase of the nearest-neighbor hopping amplitude in a p-wave superconducting wire can generate modes localized near the ends of the wire. The Floquet eigenvalues of these modes can either be equal to $\pm 1$ (which is known to occur in other models) or can lie near other values in complex conjugate pairs which is unusual; we call the latter anomalous end modes. All the end modes have equal probabilities of particles and holes. If the amplitude of driving is small, we observe an interesting bulk-boundary correspondence: the Floquet eigenvalues and the peaks of the Fourier transform of the end modes lie close to the Floquet eigenvalues and momenta at which the Floquet eigenvalues of the bulk system have extrema.

15 pages, 13 figures; added a figure; this is the published version

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Cited by in corpus (14)

• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Low-frequency phase diagram of irradiated graphene and periodically driven spin-1/2 $XY$ chain
• Robustness of symmetry-protected topological states against time-periodic perturbations
• Orbital Floquet Engineering of Exchange Interactions in Magnetic Materials
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Effects of local periodic driving on transport and generation of bound states
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Anomalous Josephson effect and rectification in junctions between Floquet topological superconductors
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Topological properties of a periodically driven Creutz ladder
• Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
• Effects of topological and non-topological edge states on information propagation and scrambling in a Floquet spin chain
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor