Floquet Majorana fermions in driven hexagonal lattice systems

Abstract

We propose Floquet chiral topological superconducting systems hosting Floquet Majorana fermions, which consist of hexagonal lattices in proximity to superconductors with shining circularly polarized light. Specially for bilayer graphene system, we demonstrate that there exist three topological phases determined by certain parameters, namely, the amplitude and frequency of the induced light. The number of chiral Floquet Majorana edge states is confirmed by calculating Chern number analytically and energy spectrum in ribbon geometry. Moreover, this proposal is generalized to other hexagonal lattice systems, such as monolayer graphene and silicene. Notably, the parameter range of induced light to achieve the chiral Floquet Majorana edge states is experimentally feasible, and the corresponding Floquet Majorana fermions can be probed based on differential conductance using scanning tunneling spectroscopy.

9 pages, 8 figures

References in corpus (15)

• The electronic properties of graphene
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Topological characterization of periodically-driven quantum systems
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Proximity of antiferromagnetism and superconductivity in LaO${}_{1-x}$F${}_x$FeAs: effective Hamiltonian from ab initio studies
• Modulated Floquet Topological Insulators
• Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground State of Bilayer Graphene
• Unpaired Floquet Majorana fermions without magnetic fields
• Transport discovery of emerging robust helical surface states in $Z_2=0$ systems
• Theory of tunneling spectroscopy for chiral topological superconductors

Cited by in corpus (6)

• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Edge mode dynamics of quenched topological wires
• Floquet Quantum Spin Hall Insulator in Cold Atomic Systems
• Time-crystalline Topological Superconductors
• Plasmon effects in photoemission