Discrete and surface solitons in photonic graphene nanoribbons

Abstract

We analyze localization of light in honeycomb photonic lattices restricted in one dimension which can be regarded as an optical analog of (``armchair'' and ``zigzag'') graphene nanoribbons. We find the conditions for the existence of spatially localized states and discuss the effect of lattice topology on the properties of discrete solitons excited inside the lattice and at its edges. In particular, we discover a novel type of soliton bistability, the so-called geometry-induced bistability, in the lattices of a finite extent.

three double-column pages, 5 figures, submitted for publication

References in corpus (10)

• Photonic analog of graphene model and its extension -- Dirac cone, symmetry, and edge states --
• Prefect Klein tunneling in anisotropic graphene-like photonic lattices
• Observation of two-dimensional surface solitons in anisotropic waveguide arrays
• Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays
• Discrete surface solitons in two dimensions
• Discrete surface solitons in two-dimensional anisotropic photonic lattices
• Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
• Solitons and vortices in honeycomb defocusing photonic lattices
• Angular surface solitons in sectorial hexagonal arrays
• Soliton excitation in waveguide arrays with an effective intermediate dimensionality

Cited by in corpus (10)

• Strain-induced pseudomagnetic field and Landau levels in photonic structures
• Observation of Edge Solitons in Photonic Graphene
• Lieb polariton topological insulators
• Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
• Coupled backward- and forward-propagating solitons in a composite right/left-handed transmission line
• Nonlinear localized modes in two-dimensional electrical lattices
• Discrete breathers in honeycomb Fermi-Pasta-Ulam lattices
• Localized modes in nonlinear photonic kagome nanoribbons
• Nonlinear light localization around the core of a `holey' fiber
• Wavepacket spreading dynamics under a non-instantaneous nonlinearity: Self-trapping, defocusing and focusing