On the Phononic Bandgap of Carbon Nanotubes

Figure 1

(a) Schematic view of (8,0) CNT for an application of elastic wave filter in the particular frequency around 36 THz. (b) Phonon band structures of CNTs with chirality (5,5) (left) and (8,0) (right). We see that (5,5) CNT exhibits no phononic bandgap up to 50 THz, while (8,0) CNT has a phononic bandgap around 36 THz, corresponding to 150meV. Here 𝑎₁ and 𝑎₂ are unit cell lengths for (5,5) CNT and (8,0) CNT, respectively.

(a)

(b)