Derivation of the screened Bloch equations and application to carbon nanostructures

Eike Verdenhalven, Rolf Binder, Andreas Knorr, Ermin Malić

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Optical properties of single-walled semiconducting and metallic carbon nanotubes are significantly influenced by excitonic effects. The excitonic binding energy strongly depends on Coulomb screening. Here, we show-using a non-perturbative single-time equation of motion method-how the momentum-dependent dielectric function (q) for carbon nanotubes can be consistently derived within a microscopic theory. We investigate the influence of the corresponding screening on the absorption spectra of semiconducting and metallic carbon nanotubes. We observe clearly smaller excitonic binding energies for metallic nanotubes arising from an efficient screening stemming from the crossing bands. The presented method can be applied in a straightforward way to calculate the Coulomb screening in other nanostructures, such as graphene and carbon nanoribbons.

Original languageEnglish (US)
Pages (from-to)3-10
Number of pages8
JournalChemical Physics
StatePublished - Feb 21 2013


  • Carbon nanotubes
  • Excitonic effects
  • Metallic and semiconducting
  • Screening

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry


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