Can Electric Field Induced Energy Gaps In Metallic Carbon Nanotubes?

Details Can Electric Field Induced Energy Gaps In Metallic Carbon Nanotubes? Can Electric Field Induced Energy Gaps In Metallic Carbon Nanotubes?

2000-10-08

arxiv.org/abs/cond-mat/0010124v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1088/0953-8984/13/27/104

The low-energy electronic structure of metallic single-walled carbon nanotube (SWNT) in an external electric field perpendicular to the tube axis is investigated. Based on tight-binding approximation, a field-induced energy gap is found in all (n, n) SWNTs, and the gap shows strong dependence on the electric field and the size of the tubes. We numerically find a universal scaling that the gap is a function of the electric field and the radius of SWNTs, and the results are testified by the second-order perturbation theory in weak field limit. Our calculation shows the field required to induce a 0.1 ${\rm eV}$ gap in metallic SWNTs can be easily reached under the current experimental conditions. It indicates a kind of possibility to apply nanotubes to electric signal-controlled nanoscale switching devices.

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