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

McCann, Edward and Fal’ko, Vladimir I. (2004) Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes. Journal of Physics: Condensed Matter, 16 (13). pp. 2371-2379. ISSN 0953-8984

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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.

Item Type: Journal Article
Journal or Publication Title: Journal of Physics: Condensed Matter
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 30830
Deposited By: Dr Edward McCann
Deposited On: 08 Dec 2009 11:52
Refereed?: Yes
Published?: Published
Last Modified: 10 Jun 2019 18:56
URI: https://eprints.lancs.ac.uk/id/eprint/30830

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