Excitons in narrow-gap carbon nanotubes

Details Excitons in narrow-gap carbon nanotubes Excitons in narrow-gap carbon nanotubes

2010-12-26

arxiv.org/abs/1012.5517v2

Phys. Rev. B 84, 035437 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 3 figures. Several references and an additional appendix added

Scientific paper

10.1103/PhysRevB.84.035437

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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