The spectrum of interacting metallic carbon nanotubes: exchange effects and universality
Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
Corresponding author: a firstname.lastname@example.org
Revised: 18 April 2008
Published online: 28 May 2008
The low energy spectrum of finite size metallic single-walled carbon nanotubes (SWNTs) is determined. Starting from a tight binding model for the pz 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.
PACS: 73.63.Fg – Nanotubes / 71.10.Pm – Fermions in reduced dimensions / 71.70.Gm – Exchange interactions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008