Insensitive edge solitons in a non-Hermitian topological lattice

Abstract

In this work, we demonstrate that the synergetic interplay of topology, nonreciprocity and nonlinearity is capable of unprecedented effects. We focus on a nonreciprocal variant of the Su-Shrieffer-Heeger chain with local Kerr nonlinearity. We find a continuous family of non-reciprocal edge solitons (NES) emerging from the topological edge mode, with near-zero energy, in great contrast from their reciprocal counterparts. Analytical results show that this energy decays exponentially towards zero when increasing the lattice size. Consequently, despite the absence of chiral and sublattice symmetries within the system, we obtain zero-energy NES, which are insensitive to growing Kerr nonlinearity. Even more surprising, these zero-energy NES also persist in the strong nonlinear limit. Our work may enable new avenues for the control of nonlinear topological waves without requiring the addition of complex chiral- or sublattice-preserving nonlinearities.

arXiv comment5 figures, published in Physical Review B

References in corpus (39)

• Topological Insulators
• Topological Photonics
• Edge states and topological invariants of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Anomalous edge state in a non-Hermitian lattice
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Nonlinear topological photonics
• Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial
• Non-reciprocal robotic metamaterials
• Non-Hermitian Topological Sensors
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Photonic Topological Insulator in Synthetic Dimensions
• Observation of the topological Anderson insulator in disordered atomic wires
• Edge Solitons in Nonlinear Photonic Topological Insulators
• Acoustic non-Hermitian skin effect from twisted winding topology
• Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
• Nonlinearity-induced photonic topological insulator
• Non-Hermitian Morphing of Topological Modes
• Self-induced topological transitions and edge states supported by nonlinear staggered potentials
• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
• Topolectric circuits: Theory and construction
• Non-reciprocal topological solitons in active metamaterials
• Amplitude-dependent topological edge states in nonlinear phononic lattices
• Anomalous topological edge states in non-Hermitian piezophononic media
• Delocalization of topological edge states
• Stability of topological edge states under strong nonlinear effects
• Self-induced topological transition in phononic crystals by nonlinearity management
• Non-Newtonian Topological Mechanical Metamaterials Using Feedback Control
• Dynamical nonlinear higher-order non-Hermitian skin effects and topological trap-skin phase
• Nonlinear non-Hermitian skin effect
• Dynamic skin effects in non-Hermitian systems
• Skin modes in a nonlinear Hatano-Nelson model
• Topological edge solitons and their stability in a nonlinear Su-Schrieffer-Heeger model
• Exact analogue of the Hatano-Nelson model in 1D continuous nonreciprocal systems
• Optical control of topological end states via soliton formation in a 1D lattice
• Nonlinear perturbation of a high-order exceptional point: skin discrete breathers and the hierarchical power-law scaling

Cited by in corpus (8)

• Hopf Bifurcation of Nonlinear Non-Hermitian Skin Effect
• Non-reciprocal breathing solitons
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Self-trapping and skin solitons in two-dimensional non-Hermitian lattices
• Nonlinear skin breathing modes in one-dimensional nonreciprocal mechanical lattices
• Nonreciprocal amplification toward chaos in a chain of Duffing oscillators
• Nonlinearity-induced corner states in a kagome lattice
• Insensitive nonreciprocal edge breathers