# On the Phononic Bandgap of Carbon Nanotubes

Authors: Kohei Yamamoto; Hiroyuki Ishii; Nobuhiko Kobayashi; Kenji Hirose
Journal: Journal of Nanomaterials
 (2013)

---

## Abstract

On the phononic bandgap of carbon nanotubes (CNTs), we show in what chirality CNTs have
phononic bandgaps and its dependence on the diameters of CNTs. We find that, though the rule where CNTs have phononic bandgaps is the same as in the electronic structure case, the diameter dependence is different. The phononic bandgaps of the zigzag-CNTs reveal “three” kinds of diameter dependence due to the anisotropy of graphene phonon band around the K point ink-space. We also show the crossover from one- to two-dimensional characteristics in phononic bandgaps.


---

## Body


---

*Source: 525070-2013-06-23.xml*