Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes

Edward McCann, Vladimir I. Fal'ko

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We consider the effective mass model of spinless electrons in single-wall carbon nanotubes that is equivalent to the Dirac equation for massless fermions. Within this framework we derive all possible energy independent hard wall boundary conditions that are applicable to metallic tubes. The boundary conditions are classified in terms of their symmetry properties and we demonstrate that the use of different boundary conditions will result in varying degrees of valley degeneracy breaking of the single-particle energy spectrum.

    Original languageEnglish
    Pages (from-to)2371-2379
    Number of pages9
    JournalJournal of Physics Condensed Matter
    Volume16
    Issue number13
    DOIs
    Publication statusPublished - 7 Apr 2004

    Research Beacons, Institutes and Platforms

    • National Graphene Institute

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