Dielectric response of semiconducting carbon nanotubes
- 16 December 2002
- journal article
- research article
- Published by AIP Publishing in Applied Physics Letters
- Vol. 81 (25) , 4835-4837
- https://doi.org/10.1063/1.1530373
Abstract
The dielectric response of semiconducting carbon nanotubes is studied within a tight-binding theory. We focus on “zigzag” tubes, finding that the induced charge exhibits large oscillations within the unit cell. The spatial extent of the response function is roughly equal to the nanotube radius, for any radius. We point out that the dielectric constant of undoped tubes (or any low-dimensional semiconductor) is 1. Our results are confirmed by direct numerical calculations.Keywords
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