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

Research output: Contribution to journalJournal article

Published

Journal publication date7/04/2004
JournalJournal of Physics: Condensed Matter
Journal number13
Volume16
Number of pages9
Pages2371-2379
Original languageEnglish

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.