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

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

2004-02-13

arxiv.org/abs/cond-mat/0402373v1

J. Phys.: Condens. Matter 16, 2371 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages

Scientific paper

10.1088/0953-8984/16/13/016

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.

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