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dc.contributor.authorAslamoğlu, S.en_US
dc.contributor.authorOktel, M. Ö.en_US
dc.contributor.authorGülseren, O.en_US
dc.date.accessioned2016-02-08T09:46:19Z
dc.date.available2016-02-08T09:46:19Z
dc.date.issued2012en_US
dc.identifier.issn2469-9950
dc.identifier.urihttp://hdl.handle.net/11693/21438
dc.description.abstractWe investigate the structure of Hofstadter's butterfly of graphene with point defects under a perpendicular magnetic field. We use a tight-binding method with interactions up to second-nearest neighbors. First of all, we present the Hofstadter butterfly spectrum of pure graphene, including all four valence orbitals with second-order hopping. To model defects, we perform calculations within an enlarged unit cell of seven carbon atoms and one defect atom. We find that impurity atoms with smaller hopping constants result in highly localized states which are decoupled from the rest of the system. The bands associated with these states form a nearly E=0 eV line. On the other hand, impurity atoms with higher hopping constants are strongly coupled with the neighboring atoms. These states modify the Hofstadter butterfly around the minimum and maximum values of the energy by forming two self-similar bands decoupled from the original butterfly. We also show that the bands and gaps due to the impurity states are robust with respect to the second-order hopping. © 2012 American Physical Society.en_US
dc.language.isoEnglishen_US
dc.source.titlePhysical Review Ben_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevB.85.235414en_US
dc.subject73.22.Pren_US
dc.subject71.55.−ien_US
dc.subject71.70.Dien_US
dc.subject73.22.Gken_US
dc.titleHofstadter butterfly of graphene with point defectsen_US
dc.typeArticleen_US
dc.departmentDepartment of Physicsen_US
dc.citation.spage235414-1en_US
dc.citation.epage235414-8en_US
dc.citation.volumeNumber85en_US
dc.citation.issueNumber23en_US
dc.identifier.doi10.1103/PhysRevB.85.235414en_US
dc.publisherAmerican Physical Societyen_US
dc.identifier.eissn2469-9969


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