The low energy spectrum of finite size metallic SWNTs

Abstract

The electronic spectrum of metallic finite-size single-wall carbon nanotubes at low energies is derived. It is based on a tight-binding description for the interacting p_{z} electrons. Not only the forward scattering parts of the Coulomb interaction, which are diagonalized by bosonization, are considered, but also all other processes becoming relevant for small diameter tubes. As a consequence of the substructure of the underlying lattice, a spin 1 triplet is found as ground state if the exchange splitting is larger than the branch mismatch, a spin 0 singlet otherwise. Moreover the excitation spectrum is calculated.

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Cited by in corpus (20)

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• Inter-valley scattering induced by Coulomb interaction and disorder in carbon-nanotube quantum dots
• Transport via coupled states in a C60 peapod quantum dot
• Blocking transport resonances via Kondo entanglement in quantum dots
• The two classes of low energy spectra in finite carbon nanotubes
• Exchange effects in spin polarized transport through carbon nanotube quantum dots
• Enhanced NMR relaxation of Tomonaga-Luttinger liquids and the magnitude of the carbon hyperfine coupling in single-wall carbon nanotubes
• Double quantum dots defined in bilayer graphene
• Spin and valley manipulation in single and double electrostatic silicene quantum dots
• Spectrum and Franck-Condon factors of interacting suspended single-wall carbon nanotubes
• Linear conductance of an interacting carbon nanotube ring
• Spin-dependent transport through interacting graphene armchair nanoribbons
• Pseudo-spin-dependent scattering in carbon nanotubes
• Two-electron n-p double quantum dots in carbon nanotubes
• Graphene armchair nanoribbon single-electron transistors: The peculiar influence of end states
• Nagaoka spin-valley ordering in silicene quantum dots
• Inter- and intra-band Coulomb interactions between holes in silicon nanostructures