Magnetic field induced localization in carbon nanotubes
arXiv:1101.2088 · doi:10.1103/PhysRevB.83.193407
Abstract
The electronic spectra of long carbon nanotubes (CNTs) can, to a very good approximation, be obtained using the dispersion relation of graphene with both angular and axial periodic boundary conditions. In short CNTs one must account for the presence of open ends, which may give rise to states localized at the edges. We show that when a magnetic field is applied parallel to the tube axis, it modifies both momentum quantization conditions, causing hitherto extended states to localize near the ends. This localization is gradual and initially the involved states are still conducting. Beyond a threshold value of the magnetic field, which depends on the nanotube chirality and length, the localization is complete and the transport is suppressed.
5 pages, 3 figures
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Cited by in corpus (10)
- Signatures of spin-orbit interaction in transport properties of finite carbon nanotubes in a parallel magnetic field
- Shaping electron wave functions in a carbon nanotube with a parallel magnetic field
- Valley coupling in finite-length metallic single-wall carbon nanotubes
- The two classes of low energy spectra in finite carbon nanotubes
- Topology and zero energy edge states in carbon nanotubes with superconducting pairing
- Topological classification of the single-wall carbon nanotube
- Topological Phase Transition in Metallic Single-Wall Carbon Nanotube
- Electronic transport in bent carbon nanotubes
- Magnetic field control of the Franck-Condon coupling of few-electron quantum states
- Edge density of bulk states due to relativity