Low-temperature specific heat of nanotube systems

Article

关键词: WALLED CARBON NANOTUBES;    ELASTIC PROPERTIES;    PHONONS;    ROPES;   

DOI  :  10.1103/PhysRevB.66.153408

来源: SCIE

【 摘 要 】

The low-temperature specific heat of single-walled carbon nanotubes (isolated and bundled) and multiwalled carbon nanotubes is calculated within force-constant dynamical models. It is shown that, due to the quadratic dependence of the frequency omega of the transverse-acoustic phonons on the wave number q, the phonon density of states has a singularity of the type 1/rootomega and the very low-temperature specific heat varies as rootT with the temperature T. With the increase of the diameter of the system, the contributions of the longitudinal- and torsional-acoustic phonons to the specific heat begin to prevail and the latter becomes linear in T. These results are confirmed by the recent experimental data.

【 授权许可】

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