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AuthorKoukouloyannis V.
AuthorKevrekidis P.G.
AuthorVeldes G.P.
AuthorFrantzeskakis D.J.
AuthorDimarzio D.
AuthorLan X.
AuthorRadisic V.
Available date2020-02-05T08:53:39Z
Publication Date2018
Publication NamePhysica Scripta
ResourceScopus
ISSN318949
URIhttp://dx.doi.org/10.1088/1402-4896/aa9766
URIhttp://hdl.handle.net/10576/12774
AbstractIn the present work, we examine a prototypical model for the formation of bright breathers in nonlinear left-handed metamaterial lattices. Utilizing the paradigm of nonlinear transmission lines, we build a relevant lattice and develop a quasi-continuum multiscale approximation that enables us to appreciate both the underlying linear dispersion relation and the potential for bifurcation of nonlinear states. We focus here, more specifically, on bright discrete breathers which bifurcate from the lower edge of the linear dispersion relation at wavenumber k = p. Guided by the multiscale analysis, we calculate numerically both the stable inter-site centered and the unstable site-centered members of the relevant family. We quantify the associated stability via Floquet analysis and the Peierls-Nabarro barrier of the energy difference between these branches. Finally, we explore the dynamical implications of these findings towards the potential mobility or lack thereof (pinning) of such breather solutions. 2018 IOP Publishing Ltd.
SponsorThe authors, VK, PGK, GPV, and DJF, acknowledge that this work made possible by NPRP grant #[9-329-1-067] from Qatar National Research Fund (a member of Qatar Foundation). The findings achieved herein are solely the responsibility of the authors. We also thank Professor Yannan Shen for numerous useful discussions. VK and PGK are grateful for support from the ERC under FP7, Marie Curie Actions, People, International Research Staff Exchange Scheme (IRSES-606096).
Languageen
PublisherInstitute of Physics Publishing
Subjectdiscrete breathers
left-handed lattice
metamaterial lattice
stability and mobility
TitleBright breathers in nonlinear left-handed metamaterial lattices
TypeArticle
Pagination-
Issue Number2
Volume Number93
dc.accessType Abstract Only


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