Nonlinearity-induced corner states in a kagome lattice
Nonlinearity provides a powerful mechanism for controlling energy localization in structured dynamical systems. In this study, we investigate the emergence of nonlinearity-induced energy localization at the corners of a kagome lattice featuring onsite cubic nonlinearity. Employing quench dynamics si...
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IOP Publishing
2025-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/adf13d |
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| author | K Prabith Georgios Theocharis Rajesh Chaunsali |
| author_facet | K Prabith Georgios Theocharis Rajesh Chaunsali |
| author_sort | K Prabith |
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| description | Nonlinearity provides a powerful mechanism for controlling energy localization in structured dynamical systems. In this study, we investigate the emergence of nonlinearity-induced energy localization at the corners of a kagome lattice featuring onsite cubic nonlinearity. Employing quench dynamics simulations and nonlinear continuation methods, we analyze the temporal and spectral characteristics of localized states under strong nonlinearity. Our results demonstrate the formation of stable, localized corner states, strikingly, even within the parameter regime corresponding to the topologically trivial phase of the underlying linear system, which normally lacks such boundary modes. Furthermore, we identify distinct families of nonlinearity-induced corner states residing within the semi-infinite spectral gap above the bulk bands in both the trivial and nontrivial phases. Stability analysis and nonlinear continuation reveal they are intrinsic nonlinear solutions, fundamentally distinct from perturbations of linear topological or bulk states. These findings elucidate a robust mechanism for generating localized states via nonlinearity, independent of linear topological protection, and advance our understanding of how nonlinearity can give rise to novel boundary phenomena in structured media. The ability to create tunable, localized states in various spectral regions offers potential applications in energy harvesting, wave manipulation, and advanced signal processing. |
| format | Article |
| id | doaj-art-f63d7edf6aa246cf8effd5f89517ab8a |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-f63d7edf6aa246cf8effd5f89517ab8a2025-08-20T03:58:39ZengIOP PublishingNew Journal of Physics1367-26302025-01-0127808350110.1088/1367-2630/adf13dNonlinearity-induced corner states in a kagome latticeK Prabith0https://orcid.org/0000-0002-2175-1562Georgios Theocharis1https://orcid.org/0000-0003-2984-4197Rajesh Chaunsali2https://orcid.org/0000-0002-0631-0275Department of Aerospace Engineering, Indian Institute of Science , Bangalore 560012, IndiaLAUM, CNRS-UMR 6613, Le Mans Université , Avenue Olivier Messiaen, 72085 Le Mans, FranceDepartment of Aerospace Engineering, Indian Institute of Science , Bangalore 560012, IndiaNonlinearity provides a powerful mechanism for controlling energy localization in structured dynamical systems. In this study, we investigate the emergence of nonlinearity-induced energy localization at the corners of a kagome lattice featuring onsite cubic nonlinearity. Employing quench dynamics simulations and nonlinear continuation methods, we analyze the temporal and spectral characteristics of localized states under strong nonlinearity. Our results demonstrate the formation of stable, localized corner states, strikingly, even within the parameter regime corresponding to the topologically trivial phase of the underlying linear system, which normally lacks such boundary modes. Furthermore, we identify distinct families of nonlinearity-induced corner states residing within the semi-infinite spectral gap above the bulk bands in both the trivial and nontrivial phases. Stability analysis and nonlinear continuation reveal they are intrinsic nonlinear solutions, fundamentally distinct from perturbations of linear topological or bulk states. These findings elucidate a robust mechanism for generating localized states via nonlinearity, independent of linear topological protection, and advance our understanding of how nonlinearity can give rise to novel boundary phenomena in structured media. The ability to create tunable, localized states in various spectral regions offers potential applications in energy harvesting, wave manipulation, and advanced signal processing.https://doi.org/10.1088/1367-2630/adf13dtopological insulatorkagomenonlinear latticecorner statehigher-order topological insulators |
| spellingShingle | K Prabith Georgios Theocharis Rajesh Chaunsali Nonlinearity-induced corner states in a kagome lattice New Journal of Physics topological insulator kagome nonlinear lattice corner state higher-order topological insulators |
| title | Nonlinearity-induced corner states in a kagome lattice |
| title_full | Nonlinearity-induced corner states in a kagome lattice |
| title_fullStr | Nonlinearity-induced corner states in a kagome lattice |
| title_full_unstemmed | Nonlinearity-induced corner states in a kagome lattice |
| title_short | Nonlinearity-induced corner states in a kagome lattice |
| title_sort | nonlinearity induced corner states in a kagome lattice |
| topic | topological insulator kagome nonlinear lattice corner state higher-order topological insulators |
| url | https://doi.org/10.1088/1367-2630/adf13d |
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