Self-localized topological states in three dimensions

Abstract

Three-dimensional (3D) topological materials exhibit much richer phenomena than their lower-dimensional counterparts. Here, we propose self-localized topological states (i.e., topological solitons) in a 3D nonlinear photonic Chern insulator. Despite being in the bulk and self-localized in all 3D, the topological solitons at high-symmetry points K and K' rotate in the same direction, due to the underlying topology. Specifically, under the saturable nonlinearity the solitons are stable over a broad frequency range. Our results highlight how topology and nonlinearity interact with each other and can be extended to other 3D topological systems.

References in corpus (32)

• Topological Insulators
• Topological insulators and superconductors
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Experimental observation of Weyl points
• Nonlinear topological photonics
• Topology of crystalline insulators and superconductors
• Synthetic gauge fields and Weyl point in Time-Reversal Invariant Acoustic Systems
• Realization of a three-dimensional photonic topological insulator
• Edge Solitons in Nonlinear Photonic Topological Insulators
• Observation of Topological Band Gap Solitons
• Three-dimensional topological photonic crystal with a single surface Dirac cone
• Three-Dimensional All-Dielectric Photonic Topological Insulator
• Chiral voltage propagation in a self-calibrated topolectrical Chern circuit
• Experimental observation of optical Weyl points
• Half-metallic semiDirac point generated by quantum confinement in TiO${}_2$/VO${}_2$ nanostructures
• Observation of Edge Solitons in Photonic Graphene
• First Principles Calculations for Topological Quantum Materials
• Observation of an unpaired photonic Dirac point
• Topological edge states and gap solitons in the nonlinear Dirac model
• Observation of edge solitons in topological trimer arrays
• Chirality of topological gap solitons in bosonic dimer chains
• Ideal type-II Weyl points in topological circuits
• Topological dipole Floquet solitons
• ${\mathbb{Z}}_2$ topological insulator analog for vortices in an interacting bosonic quantum fluid
• Stability of solitary waves and vortices in a 2D nonlinear Dirac model
• Ring Dirac Solitons in Nonlinear Topological Lattices
• Multidimensional hybrid Bose-Einstein condensates stabilized by lower-dimensional spin-orbit coupling
• Bulk soliton dynamics in bosonic topological insulators
• Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum
• Speed-of-light pulses in a nonlinear Weyl equation
• New Frontiers in Multidimensional Self-Trapping of Nonlinear Fields and Matter

Cited by in corpus (6)

• Observation of cnoidal wave localization in non-linear topolectric circuits
• Fermi arc reconstruction in synthetic photonic lattice
• Probing topology in nonlinear topological materials using numerical $K$-theory
• Topological bulk solitons in a nonlinear photonic Chern insulator
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• Nonlinear quadrupole topological insulators