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dc.contributor.authorSaroka, Vasil
dc.contributor.authorShuba, M.V.
dc.contributor.authorPortnoi, M.E.
dc.date.accessioned2019-02-13T17:27:47Z
dc.date.available2019-02-13T17:27:47Z
dc.date.created2019-01-08T11:10:31Z
dc.date.issued2017
dc.identifier.citationPhysical Review B. 2017, 95 155438-1-155438-18.nb_NO
dc.identifier.issn2469-9950
dc.identifier.urihttp://hdl.handle.net/11250/2585333
dc.description.abstractWe present an analytical tight-binding theory of the optical properties of graphene nanoribbons with zigzag edges. Applying the transfer matrix technique to the nearest-neighbor tight-binding Hamiltonian, we derive analytical expressions for electron wave functions and optical transition matrix elements for incident light polarized along the structure axis. It follows from the obtained results that optical selection rules result from the wave function parity factor (−1)J , where J is the band number. These selection rules are that J is odd for transitions between valence and conduction subbands and that J is even for transitions between only valence (conduction) subbands. Although these selection rules are different from those in armchair carbon nanotubes, there is a hidden correlation between absorption spectra of the two structures that should allow one to use them interchangeably in some applications. The correlation originates from the fact that van Hove singularities in the tubes are centered between those in the ribbons if the ribbon width is about a half of the tubes circumference. The analysis of the matrix elements dependence on the electron wave vector for narrow ribbons shows a smooth nonsingular behavior at the Dirac points and the points where the bulk states meet the edge states.nb_NO
dc.language.isoengnb_NO
dc.publisherAmerican Physical Societynb_NO
dc.relation.urihttps://journals.aps.org/prb/abstract/10.1103/PhysRevB.95.155438
dc.titleOptical selection rules of zigzag graphene nanoribbonsnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.pagenumber155438-1-155438-18nb_NO
dc.source.volume95nb_NO
dc.source.journalPhysical Review Bnb_NO
dc.identifier.doi10.1103/PhysRevB.95.155438
dc.identifier.cristin1652153
dc.description.localcode© 2017. This is the authors' accepted and refereed manuscript to the article. The final authenticated version is available online at: https://doi.org/10.1103/PhysRevB.95.155438nb_NO
cristin.unitcode194,66,20,0
cristin.unitnameInstitutt for fysikk
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode2


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