Transport properties in the photonic super-honeycomb lattice - a hybrid fermionic and bosonic system

Abstract

We report on transport properties of the super-honeycomb lattice, the band structure of which possesses a flat band and Dirac cones, according to the tight-binding approximation. This super-honeycomb model combines the honeycomb lattice and the Lieb lattice and displays the properties of both. The super-honeycomb lattice also represents a hybrid fermionic and bosonic system, which is rarely seen in nature. By choosing the phases of input beams properly, the flat-band mode of the super-honeycomb will be excited and the input beams will exhibit strong localization during propagation. On the other hand, if the modes of Dirac cones of the super-honeycomb lattice are excited, one will observe conical diffraction. Furthermore, if the input beam is properly chosen to excite a sublattice of the super-honeycomb lattice and the modes of Dirac cones with different pseudospins, e.g., the three-beam interference pattern, the pseudospin-mediated vortices will be observed.

13 pages, 7 figures. Comments and criticisms are welcome. Please contact Yiqi Zhang directly ([email protected])

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Cited by in corpus (19)

• Artificial flat band systems: from lattice models to experiments
• Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
• Unveiling the link between fractional Schrödinger equation and light propagation in honeycomb lattice
• $2^n$-root weak, Chern, and higher-order topological insulators, and $2^n$-root topological semimetals
• Flatband Line States in Photonic Super-Honeycomb Lattices
• Entanglement Entropy of Non-Hermitian Free Fermions
• Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
• New face-centered photonic square lattices with flat bands
• Vector valley Hall edge solitons in superhoneycomb lattices
• Microwave photonic crystals as an experimental realization of a combined honeycomb-kagome lattice
• Flat Band Induced Metal-Insulator Transitions for Weak Magnetic Flux and Spin-Orbit Disorder
• Generating Lieb and super-honeycomb lattices by employing the fractional Talbot effect
• Asymmetric conical diffraction in dislocated edge-centered square lattices
• Multiple flat bands and localized states in photonic super-Kagome lattices
• Properties of the eigenmodes and quantum-chaotic scattering in a superconducting microwave Dirac billiard with threefold rotational symmetry
• Type-II Dirac photonic lattices
• Topological edge states in photonic Floquet insulator with unpaired Dirac cones
• Two-dimensional flat-band solitons in superhoneycomb lattices
• Altermagnetism in an interacting model of Kagome materials