Thresholdless nonlinearity-induced edge solitons in trimer arrays
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915312314613760 |
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| author | Johansson, Magnus |
| author_facet | Johansson, Magnus |
| contents | We consider a one-dimensional discrete nonlinear Schrödinger (DNLS) model with Kerr-type on-site nonlinearity, where the nearest-neighbor coupling constants take two different values ordered in a three-periodic sequence. The existence of localized edge states in the linear limit (Su-Schrieffer-Heeger trimer, SSH3) is known to depend on the precise location of the edge. Here, we show that for a termination that does not support linear edge states, an arbitrarily weak on-site nonlinearity will induce an edge mode with asymptotic exponential localization, bifurcating from a linear band edge. Close to the gap edge, the shape of the mode can be analytically described in a continuum approximation as one half of a standard gap soliton. The linear stability properties of nonlinear edge modes are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19330 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thresholdless nonlinearity-induced edge solitons in trimer arrays Johansson, Magnus Pattern Formation and Solitons Other Condensed Matter Optics We consider a one-dimensional discrete nonlinear Schrödinger (DNLS) model with Kerr-type on-site nonlinearity, where the nearest-neighbor coupling constants take two different values ordered in a three-periodic sequence. The existence of localized edge states in the linear limit (Su-Schrieffer-Heeger trimer, SSH3) is known to depend on the precise location of the edge. Here, we show that for a termination that does not support linear edge states, an arbitrarily weak on-site nonlinearity will induce an edge mode with asymptotic exponential localization, bifurcating from a linear band edge. Close to the gap edge, the shape of the mode can be analytically described in a continuum approximation as one half of a standard gap soliton. The linear stability properties of nonlinear edge modes are also discussed. |
| title | Thresholdless nonlinearity-induced edge solitons in trimer arrays |
| topic | Pattern Formation and Solitons Other Condensed Matter Optics |
| url | https://arxiv.org/abs/2502.19330 |