Excitons in narrow-gap carbon nanotubes

R. R. Hartmann, I. A. Shelykh, and M. E. Portnoi
Phys. Rev. B 84, 035437 – Published 26 July 2011

Abstract

We calculate the exciton binding energy in single-walled carbon nanotubes with narrow band gaps, accounting for the quasirelativistic dispersion of electrons and holes. Exact analytical solutions of the quantum relativistic two-body problem are obtained 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 quasimetallic nanotubes and that their THz applications are feasible.

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  • Received 23 June 2011

DOI:https://doi.org/10.1103/PhysRevB.84.035437

©2011 American Physical Society

Authors & Affiliations

R. R. Hartmann

  • School of Physics, University of Exeter, Stocker Road, Exeter EX4 4QL, United Kingdom

I. A. Shelykh

  • Science Institute, University of Iceland, Dunhagi 3, IS-107, Reykjavik, Iceland and
  • International Institute of Physics, Av. Odilon Gomes de Lima, 1722, Capim Macio, CEP: 59078-400, Natal - RN, Brazil

M. E. Portnoi*

  • School of Physics, University of Exeter, Stocker Road, Exeter EX4 4QL, United Kingdom and
  • International Institute of Physics, Av. Odilon Gomes de Lima, 1722, Capim Macio, CEP: 59078-400, Natal - RN, Brazil

  • *m.e.portnoi@exeter.ac.uk

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Vol. 84, Iss. 3 — 15 July 2011

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