Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-04-21
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
European Physical Journal B (2008) in press
Scientific paper
10.1140/epjb/e2008-00204-0
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.
grifoni Milena
Mayrhofer Leonhard
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