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Chiral solitary waves in a nonlinear topological insulator model
Troy I Johnson1, Justin T Cole1
1University of Colorado, Colorado Springs, Department of Mathematics, Colorado 80918, USA.
Physical Review. E
|April 18, 2026
Summary
Researchers developed a new nonlinear tight-binding model for topological insulators, enabling robust traveling edge states and soliton-like behaviors. This model overcomes radiation losses, paving the way for novel nonlinear Chern insulator applications.
Area of Science:
- Condensed matter physics
- Topological materials science
Background:
- Realizing nonlinear systems with coherent traveling waves in topological insulators is a significant challenge.
- Highly nonlinear lattices often experience substantial radiation losses due to Peierls-Nabarro effects.
Purpose of the Study:
- To propose and examine a nonlinear tight-binding model supporting robust traveling edge states.
- To investigate the topological properties and soliton-like states within this novel system.
Main Methods:
- Development of a nonlinear tight-binding model.
- Analysis of the model's local Chern topology.
- Simulation of solitary wave interactions.
Main Results:
- The proposed model supports robust traveling edge states.
- The system exhibits a nontrivial local Chern topology and soliton-like states.
- Inelastic interactions were observed between traveling solitary waves and stationary modes.
Conclusions:
- The developed model offers a pathway to overcome radiation losses in nonlinear topological systems.
- This work suggests new directions for modeling, realizing, and applying nonlinear Chern insulators.
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