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dc.creatorBeličev, Petra
dc.creatorGligorić, Goran
dc.creatorMaluckov, Aleksandra
dc.creatorStepić, Milutin
dc.creatorJohansson, M.
dc.date.accessioned2018-03-01T18:04:33Z
dc.date.available2018-03-01T18:04:33Z
dc.date.issued2017
dc.identifier.issn2469-9926 (print)
dc.identifier.issn2469-9934 (electronic)
dc.identifier.urihttp://vinar.vin.bg.ac.rs/handle/123456789/1885
dc.description.abstractCompact localized modes of ring type exist in many two-dimensional lattices with a flat linear band, such as the Lieb lattice. The uniform Lieb lattice is gapless, but gaps surrounding the flat band can be induced by various types of bond alternations (dimerizations) without destroying the compact linear eigenmodes. Here, we investigate the conditions under which such diffractionless modes can be formed and propagated also in the presence of a cubic on-site (Kerr) nonlinearity. For the simplest type of dimerization with a three-site unit cell, nonlinearity destroys the exact compactness, but strongly localized modes with frequencies inside the gap are still found to propagate stably for certain regimes of system parameters. By contrast, introducing a dimerization with a 12-site unit cell, compact (diffractionless) gap modes are found to exist as exact nonlinear solutions in continuation of flat band linear eigenmodes. These modes appear to be generally weakly unstable, but dynamical simulations show parameter regimes where localization would persist for propagation lengths much larger than the size of typical experimental waveguide array configurations. Our findings represent an attempt to realize conditions for full control of light propagation in photonic environments.en
dc.relationinfo:eu-repo/grantAgreement/MESTD/Integrated and Interdisciplinary Research (IIR or III)/45010/RS//
dc.relationSwedish Research Council [348-2013-6752]
dc.rightsrestrictedAccessen
dc.sourcePhysical Review Aen
dc.titleLocalized gap modes in nonlinear dimerized Lieb latticesen
dc.typearticleen
dcterms.abstractБеличев Петра; Глигорић Горан; Малуцков Aлександра; Степић Милутин; Јоханссон, М.;
dc.citation.volume96
dc.citation.issue6
dc.identifier.wos000418794800006
dc.identifier.doi10.1103/PhysRevA.96.063838
dc.citation.otherArticle Number: 063838
dc.identifier.scopus2-s2.0-85039866647


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