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Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice

Matter in nontrivial topological phase possesses unique properties, such as support of unidirectional edge modes on its interface. It is the existence of such modes which is responsible for the wonderful properties of a topological insulator – material which is insulating in the bulk but conducting...

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Autores principales: Gulevich, D. R., Yudin, D., Skryabin, D. V., Iorsh, I. V., Shelykh, I. A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5431788/
https://www.ncbi.nlm.nih.gov/pubmed/28496151
http://dx.doi.org/10.1038/s41598-017-01646-y
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author Gulevich, D. R.
Yudin, D.
Skryabin, D. V.
Iorsh, I. V.
Shelykh, I. A.
author_facet Gulevich, D. R.
Yudin, D.
Skryabin, D. V.
Iorsh, I. V.
Shelykh, I. A.
author_sort Gulevich, D. R.
collection PubMed
description Matter in nontrivial topological phase possesses unique properties, such as support of unidirectional edge modes on its interface. It is the existence of such modes which is responsible for the wonderful properties of a topological insulator – material which is insulating in the bulk but conducting on its surface, along with many of its recently proposed photonic and polaritonic analogues. We show that exciton-polariton fluid in a nontrivial topological phase in kagome lattice, supports nonlinear excitations in the form of solitons built up from wavepackets of topological edge modes – topological edge solitons. Our theoretical and numerical results indicate the appearance of bright, dark and grey solitons dwelling in the vicinity of the boundary of a lattice strip. In a parabolic region of the dispersion the solitons can be described by envelope functions satisfying the nonlinear Schrödinger equation. Upon collision, multiple topological edge solitons emerge undistorted, which proves them to be true solitons as opposed to solitary waves for which such requirement is waived. Importantly, kagome lattice supports topological edge mode with zero group velocity unlike other types of truncated lattices. This gives a finer control over soliton velocity which can take both positive and negative values depending on the choice of forming it topological edge modes.
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spelling pubmed-54317882017-05-16 Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice Gulevich, D. R. Yudin, D. Skryabin, D. V. Iorsh, I. V. Shelykh, I. A. Sci Rep Article Matter in nontrivial topological phase possesses unique properties, such as support of unidirectional edge modes on its interface. It is the existence of such modes which is responsible for the wonderful properties of a topological insulator – material which is insulating in the bulk but conducting on its surface, along with many of its recently proposed photonic and polaritonic analogues. We show that exciton-polariton fluid in a nontrivial topological phase in kagome lattice, supports nonlinear excitations in the form of solitons built up from wavepackets of topological edge modes – topological edge solitons. Our theoretical and numerical results indicate the appearance of bright, dark and grey solitons dwelling in the vicinity of the boundary of a lattice strip. In a parabolic region of the dispersion the solitons can be described by envelope functions satisfying the nonlinear Schrödinger equation. Upon collision, multiple topological edge solitons emerge undistorted, which proves them to be true solitons as opposed to solitary waves for which such requirement is waived. Importantly, kagome lattice supports topological edge mode with zero group velocity unlike other types of truncated lattices. This gives a finer control over soliton velocity which can take both positive and negative values depending on the choice of forming it topological edge modes. Nature Publishing Group UK 2017-05-11 /pmc/articles/PMC5431788/ /pubmed/28496151 http://dx.doi.org/10.1038/s41598-017-01646-y Text en © The Author(s) 2017 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Gulevich, D. R.
Yudin, D.
Skryabin, D. V.
Iorsh, I. V.
Shelykh, I. A.
Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
title Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
title_full Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
title_fullStr Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
title_full_unstemmed Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
title_short Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
title_sort exploring nonlinear topological states of matter with exciton-polaritons: edge solitons in kagome lattice
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5431788/
https://www.ncbi.nlm.nih.gov/pubmed/28496151
http://dx.doi.org/10.1038/s41598-017-01646-y
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