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The spectrum of interacting metallic carbon nanotubes: exchange effects and universality

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  • L. Mayrhofer
  • M. Grifoni

Abstract

The low energy spectrum of finite size metallic single-walled carbon nanotubes (SWNTs) is determined. Starting from a tight binding model for the p z electrons, we derive the low energy Hamiltonian containing all relevant scattering processes resulting from the Coulomb interaction, including the short ranged contributions becoming relevant for small diameter tubes. In combination with the substructure of the underlying honeycomb lattice the short ranged processes lead to various exchange effects. Using bosonization the spectrum is determined. We find that the ground state is formed by a spin 1 triplet, if 4n+2 electrons occupy the SWNT and the branch mismatch is smaller than the exchange splitting. Additionally, we calculate the excitation spectra for the different charge states and find the lifting of spin-charge separation as well as the formation of a quasi-continuum at higher excitation energies. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • L. Mayrhofer & M. Grifoni, 2008. "The spectrum of interacting metallic carbon nanotubes: exchange effects and universality," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 63(1), pages 43-58, May.
    • Handle: RePEc:spr:eurphb:v:63:y:2008:i:1:p:43-58
    DOI: 10.1140/epjb/e2008-00204-0
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