Correlation and dimensional effects of trions in carbon nanotubes

Troels F. Rønnow, Thomas G. Pedersen, and Horia D. Cornean
Phys. Rev. B 81, 205446 – Published 28 May 2010

Abstract

We study the binding energies of singlet trions, i.e., charged excitons, in carbon nanotubes. The problem is modeled, through the effective-mass model, as a three-particle complex on the surface of a cylinder, which we investigate using both one- and two-dimensional expansions of the wave function. The effects of dimensionality and correlation are studied in detail. We find that the Hartree-Fock approximation significantly underestimates the trion binding energy. Combined with band structures calculated using a nonorthogonal nearest-neighbor tight-binding model, the results from the cylinder model are used to compute physical binding energies for a wide selection of carbon nanotubes. In addition, the dependence on dielectric screening is examined. Our findings indicate that trions are detectable at room temperature in carbon nanotubes with radius below 8Å.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 2 February 2010

DOI:https://doi.org/10.1103/PhysRevB.81.205446

©2010 American Physical Society

Authors & Affiliations

Troels F. Rønnow* and Thomas G. Pedersen

  • Department of Physics and Nanotechnology, Aalborg University, Skjernvej 4A, 9220 Aalborg Øst, Denmark

Horia D. Cornean

  • Department of Mathematical Sciences, Aalborg University, Frederik Bajers Vej 7G, 9220 Aalborg Øst, Denmark

  • *tfr@nanophysics.dk; http://www.nanophysics.dk
  • tgp@nano.aau.dk
  • cornean@math.aau.dk

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 81, Iss. 20 — 15 May 2010

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×