Electronic spectra of commensurate and incommensurate DWNTs in parallel magnetic field

Abstract

We study the electronic spectra of commensurate and incommensurate double-wall carbon nanotubes (DWNTs) of finite length. The coupling between nanotube shells is taken into account as an intershell electron tunneling. Selection rules for the intershell coupling are derived. Due to the finite size of the system, these rules do not represent exact conservation of the crystal momentum, but only an approximate one; therefore the coupling between longitudinal momentum states in incommensurate DWNTs becomes possible. The use of the selection rules allows a fast and efficient calculation of the electronic spectrum. In the presence of a magnetic field parallel to the DWNT axis we find spectrum modulations which depend on the chiralities of the shells.

25 pages, 14 figures, submitted to New Journal of Physics

References in corpus (3)

• Hofstadter butterflies of carbon nanotubes: Pseudofractality of the magnetoelectronic spectrum
• Helicity and electron correlation effects on transport properties of double-walled carbon nanotubes
• Anomalous diffusion and elastic mean free path in disorder-free multi-walled carbon nanotubes

Cited by in corpus (1)

• Direct observation of band-gap closure for a semiconducting carbon nanotube in a large parallel magnetic field