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

Abstract 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 co...

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Autores principales:	D. R. Gulevich, D. Yudin, D. V. Skryabin, I. V. Iorsh, I. A. Shelykh
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/055612006c3746769db92d6f1879ce1c
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spelling	oai:doaj.org-article:055612006c3746769db92d6f1879ce1c2021-12-02T16:08:20ZExploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice10.1038/s41598-017-01646-y2045-2322https://doaj.org/article/055612006c3746769db92d6f1879ce1c2017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-01646-yhttps://doaj.org/toc/2045-2322Abstract 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.D. R. GulevichD. YudinD. V. SkryabinI. V. IorshI. A. ShelykhNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q D. R. Gulevich D. Yudin D. V. Skryabin I. V. Iorsh I. A. Shelykh Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
description	Abstract 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.
format	article
author	D. R. Gulevich D. Yudin D. V. Skryabin I. V. Iorsh I. A. Shelykh
author_facet	D. R. Gulevich D. Yudin D. V. Skryabin I. V. Iorsh I. A. Shelykh
author_sort	D. R. Gulevich
title	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_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_sort	exploring nonlinear topological states of matter with exciton-polaritons: edge solitons in kagome lattice
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/055612006c3746769db92d6f1879ce1c
work_keys_str_mv	AT drgulevich exploringnonlineartopologicalstatesofmatterwithexcitonpolaritonsedgesolitonsinkagomelattice AT dyudin exploringnonlineartopologicalstatesofmatterwithexcitonpolaritonsedgesolitonsinkagomelattice AT dvskryabin exploringnonlineartopologicalstatesofmatterwithexcitonpolaritonsedgesolitonsinkagomelattice AT iviorsh exploringnonlineartopologicalstatesofmatterwithexcitonpolaritonsedgesolitonsinkagomelattice AT iashelykh exploringnonlineartopologicalstatesofmatterwithexcitonpolaritonsedgesolitonsinkagomelattice
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Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice

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