Electron-electron interaction effects on the photophysics of metallic single-walled carbon nanotubes

Zhendong Wang, Demetra Psiachos, Roberto F. Badilla, Sumit Mazumdar

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Abstract

Single-walled carbon nanotubes are strongly correlated systems with large Coulomb repulsion between two electrons occupying the same pz orbital. Within a molecular Hamiltonian appropriate for correlated π-electron systems, we show that optical excitations polarized parallel to the nanotube axes in the so-called metallic single-walled carbon nanotubes are excitons. Our calculated absolute exciton energies in twelve different metallic single-walled carbon nanotubes, with diameters in the range 0.8-1.4 nm, are in nearly quantitative agreement with experimental results. We have also calculated the absorption spectrum for the (21, 21) single-walled carbon nanotube in the E 22 region. Our calculated spectrum gives an excellent fit to the experimental absorption spectrum. In all cases our calculated exciton binding energies are only slightly smaller than those of semiconducting nanotubes with comparable diameters, in contradiction to results obtained within the ab initio approach, which predicts much smaller binding energies. We ascribe this difference to the difficulty of determining the behavior of systems with strong on-site Coulomb interactions within theories based on the density functional approach. As in the semiconducting nanotubes we predict in the metallic nanotubes a two-photon exciton above the lowest longitudinally polarized exciton that can be detected by ultrafast pump-probe spectroscopy. We also predict a subgap absorption polarized perpendicular to the nanotube axes below the lowest longitudinal exciton, blueshifted from the exact midgap by electron-electron interactions.

Original languageEnglish (US)
Article number095009
JournalJournal of Physics Condensed Matter
Volume21
Issue number9
DOIs
StatePublished - May 11 2009

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ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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