Two-dimensional elasticity determines the low-frequency dynamics of single- and double-walled carbon nanotubes

S.B. Rochal (1) , Vladimir Lorman (2) , Yuri Yuzyuk (1)

1 SFEDU - Southern Federal University [Rostov-on-Don]
2 L2C - Laboratoire Charles Coulomb

We develop a continuous theory of low-frequency dynamics for nanotubes with walls constituted by single-atom monolayer, the topological elasticity of which is not related to its vanishing macroscopic thickness. The applicability region of the theory proposed includes all truly two-dimensional materials such as graphene and MoS2. New comprehensive interpretation and analytical expressions for low-frequency modes in single-walled carbon nanotube (SWCNT) are given. The theory unambiguously relates the radial breathing modes of SWCNT and breathinglike modes of the double-walled carbon nanotube (DWCNT). The existing Raman data on DWCNTs are fitted better than in the frame of previous models.

Domaines: Autre [cond-mat.other]; Vibrations [physics.class-ph]; Vibrations [physics.class-ph]

S.B. Rochal, Vladimir Lorman, Yuri Yuzyuk. Two-dimensional elasticity determines the low-frequency dynamics of single- and double-walled carbon nanotubes. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2013, 88 (23), pp.235435. ⟨10.1103/PhysRevB.88.235435⟩. ⟨hal-00936234⟩