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Ring Dirac solitons in nonlinear topological systems

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Poddubny, Alexander; Smirnova, Daria

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We study solitons of the two-dimensional nonlinear Dirac equation with asymmetric cubic nonlinearity. We show that with the nonlinearity parameters specifically tuned, a high degree of localization of both spinor components is enabled on a ring of certain radius. Such ring Dirac soliton can be viewed as a self-induced nonlinear domain wall and can be implemented in nonlinear photonic graphene lattice with Kerr-like nonlinearities. Our model could be instructive for understanding localization...[Show more]

dc.contributor.authorPoddubny, Alexander
dc.contributor.authorSmirnova, Daria
dc.date.accessioned2020-01-15T04:33:58Z
dc.date.available2020-01-15T04:33:58Z
dc.identifier.issn2469-9926
dc.identifier.urihttp://hdl.handle.net/1885/197889
dc.description.abstractWe study solitons of the two-dimensional nonlinear Dirac equation with asymmetric cubic nonlinearity. We show that with the nonlinearity parameters specifically tuned, a high degree of localization of both spinor components is enabled on a ring of certain radius. Such ring Dirac soliton can be viewed as a self-induced nonlinear domain wall and can be implemented in nonlinear photonic graphene lattice with Kerr-like nonlinearities. Our model could be instructive for understanding localization mechanisms in nonlinear topological systems.
dc.description.sponsorshipA.N.P. acknowledges the support of the Australian Research Council and of the “Basis” Foundation. D.A.S. acknowledges the support of the Russian Foundation for Basic Research (Grant No. 18-02-00381).
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherAmerican Physical Society
dc.rights© 2018 American Physical Society
dc.sourcePhysical Review A
dc.titleRing Dirac solitons in nonlinear topological systems
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume98
dc.date.issued2018
local.identifier.absfor020503 - Nonlinear Optics and Spectroscopy
local.identifier.ariespublicationa383154xPUB10454
local.publisher.urlhttp://www.aps.org/
local.type.statusPublished Version
local.contributor.affiliationPoddubny, Alexander, College of Science, ANU
local.contributor.affiliationSmirnova, Daria, College of Science, ANU
local.bibliographicCitation.issue1
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage7
local.identifier.doi10.1103/PhysRevA.98.013827
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
dc.date.updated2019-11-25T07:20:51Z
local.identifier.scopusID2-s2.0-85050078081
dcterms.accessRightsOpen Access
dc.provenancehttp://sherpa.ac.uk/romeo/issn/2469-9926/..."author can archive publisher's version/PDF" from SHERPA/RoMEO site (as at 14/01/2020).
CollectionsANU Research Publications

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