Chiral solitary waves in a nonlinear topological insulator model

Fuente: arXiv
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Main Authors: Johnson, Troy I., Cole, Justin T.
Format: Preprint
Published: 2026
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author Johnson, Troy I.
Cole, Justin T.
author_facet Johnson, Troy I.
Cole, Justin T.
contents An outstanding challenge in the field of topological insulators is the realization of nonlinear systems that support coherent traveling waves. Highly nonlinear lattices can suffer from significant radiation losses due to Peierls-Nabarro effects. In this work a nonlinear tight-binding model that supports robust traveling edge states is proposed and examined. This system possess a nontrivial local Chern topology and soliton-like states. When a traveling solitary wave collides with a stationary mode, the two are observed to interact inelastically. These results suggest future directions for the modeling, realization, and application of nonlinear Chern insulators.
format Preprint
id arxiv_https___arxiv_org_abs_2604_18870
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Chiral solitary waves in a nonlinear topological insulator model
Johnson, Troy I.
Cole, Justin T.
Pattern Formation and Solitons
An outstanding challenge in the field of topological insulators is the realization of nonlinear systems that support coherent traveling waves. Highly nonlinear lattices can suffer from significant radiation losses due to Peierls-Nabarro effects. In this work a nonlinear tight-binding model that supports robust traveling edge states is proposed and examined. This system possess a nontrivial local Chern topology and soliton-like states. When a traveling solitary wave collides with a stationary mode, the two are observed to interact inelastically. These results suggest future directions for the modeling, realization, and application of nonlinear Chern insulators.
title Chiral solitary waves in a nonlinear topological insulator model
topic Pattern Formation and Solitons
url https://arxiv.org/abs/2604.18870