Vortex solitons in topological disclination lattices

Abstract

The existence of thresholdless vortex solitons trapped at the core of disclination lattices that realize higher-order topological insulators is reported. The study demonstrates the interplay between nonlinearity and higher-order topology in these systems, as the vortex state in the disclination lattice bifurcates from its linear topological counterpart, while the position of its propagation constant within the bandgap and localization can be controlled by its power. It is shown that vortex solitons are characterized by strong field confinement at the disclination core due to their topological nature, leading to enhanced stability. Simultaneously, the global discrete rotational symmetry of the disclination lattice imposes restrictions on the maximal possible topological charge of such vortex solitons. The results illustrate the strong stabilizing action that topologically nontrivial structures may exert on excited soliton states, opening new prospects for soliton-related applications.

17 pages, 13 figures, to be appear on Nanophotonics

References in corpus (10)

• Quantum fluids of light
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Quantized Nonlinear Thouless Pumping
• Observation of edge solitons in topological trimer arrays
• Nonlinear imaging of nanoscale topological corner states
• Observation of degenerate zero-energy topological states at disclinations in an acoustic lattice
• Vortex solitons in twisted circular waveguide arrays
• Two-dimensional nonlinear Thouless pumping of matter waves
• High-Order-Mode Soliton Structures in Two-Dimensional Lattices with Defocusing Nonlinearity
• Stable higher-charge discrete vortices in hexagonal optical lattices

Cited by in corpus (8)

• Thresholdless corner vortex solitons in fractal Sierpiński topological insulators
• Stable high-charge vortex dissipative solitons in azimuthally modulated waveguide arrays with localized gain
• Quadratic solitons in higher-order topological insulators
• Polariton Topological Insulators with Disclinations
• Floquet states on disclinations
• Stable vortex soliton arrays in disclination-fractal systems
• Topological linear and nonlinear gap modes in defected dimer lattice with fourth-order diffraction
• Vortex solitons in star networks