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

. 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 s...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2008-05, Vol.63 (1), p.43-58
Main Authors: Mayrhofer, L., Grifoni, M.
Format: Article
Language:English
Subjects:
Complex Systems
Condensed Matter
Condensed Matter Physics
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures
Electronic structure of nanoscale materials : clusters, nanoparticles, nanotubes, and nanocrystals
Exact sciences and technology
Fluid- and Aerodynamics
Mesoscopic and Nanoscale Systems
Mesoscopic Systems and Quantum Hall Effect
Physics
Physics and Astronomy
Solid State Physics
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Summary:. 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.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2008-00204-0