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Single and double linear and nonlinear flatband chains : spectra and modes


Single and double linear and nonlinear flatband chains : spectra and modes

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dc.contributor.author Zegadło, Krzysztof [SAP14025278] pl
dc.contributor.author Dror, Nir pl
dc.contributor.author Viet Hung, Nguyen pl
dc.contributor.author Trippenbach, Marek pl
dc.contributor.author Malomed, Boris A. pl
dc.date.accessioned 2018-03-19T14:38:00Z
dc.date.available 2018-03-19T14:38:00Z
dc.date.issued 2017 pl
dc.identifier.issn 2470-0045 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/52206
dc.language eng pl
dc.rights Dodaję tylko opis bibliograficzny *
dc.rights.uri *
dc.title Single and double linear and nonlinear flatband chains : spectra and modes pl
dc.type JournalArticle pl
dc.abstract.en We report results of systematic analysis of various modes in the flatband lattice, based on the diamond-chain model with the on-site cubic nonlinearity, and its double version with the linear on-site mixing between the two lattice fields. In the single-chain system, a full analysis is presented, first, for the single nonlinear cell, making it possible to find all stationary states, viz., antisymmetric, symmetric, and asymmetric ones, including an exactly investigated symmetry-breaking bifurcation of the subcritical type. In the nonlinear infinite single-component chain, compact localized states (CLSs) are found in an exact form too, as an extension of known compact eigenstates of the linear diamond chain. Their stability is studied by means of analytical and numerical methods, revealing a nontrivial stability boundary. In addition to the CLSs, various species of extended states and exponentially localized lattice solitons of symmetric and asymmetric types are also studied, by means of numerical calculations and variational approximation. As a result, existence and stability areas are identified for these modes. Finally, the linear version of the double diamond chain is solved in an exact form, producing two split flatbands in the system's spectrum. pl
dc.description.volume 96 pl
dc.description.number 1 pl
dc.identifier.doi 10.1103/PhysRevE.96.012204 pl
dc.identifier.eissn 2470-0053 pl
dc.title.journal Physical Review. E pl
dc.language.container eng pl
dc.affiliation Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego pl
dc.subtype Article pl
dc.identifier.articleid 012204 pl
dc.rights.original bez licencji pl
.pointsMNiSW [2017 A]: 35

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