`Excitons in narrow-gap carbon nanotubes

College

College of Science

Department/Unit

Physics

Document Type

Archival Material/Manuscript

Publication Date

8-15-2011

Abstract

We calculate the exciton binding energy in single-walled carbon nanotubes with narrow band gaps, accounting for the quasi-relativistic dispersion of electrons and holes. Exact analytical solutions of the quantum relativistic two-body problem are obtain for several limiting cases. We show that the binding energy scales with the band gap, and conclude on the basis of the data available for semiconductor nanotubes that there is no transition to an excitonic insulator in quasi-metallic nanotubes and that their THz applications are feasible.

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Keywords

Exciton theory; Carbon nanotubes; Binding energy

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