Thermal Conductance for Single Wall Carbon Nanotubes

TL;DR

This paper presents a theoretical analysis of phonon thermal conductance in single wall carbon nanotubes, showing it increases with temperature up to 100K and is robust against small bond length variations.

Contribution

It provides a theoretical model for ppa(T) in SWCNs, demonstrating temperature dependence and insensitivity to minor structural changes.

Findings

ppa(T) increases parabolically with temperature up to 100K.

Weak tube-tube interactions do not significantly affect ppa(T).

Small variations in bond length do not alter the qualitative behavior of ppa(T).

Abstract

We report a theoretical analysis of the phonon thermal conductance, \kappa (T), for single wall carbon nanotubes (SWCN). In a range of low temperatues up to 100K, \kappa (T) of perfect SWCN is found to increase with temperature, approximately, in a parabolic fashion. This is qualitatively consistent with recent experimental measurements where the tube-tube interactions are negligibly weak. When the carbon-carbon bond length is slightly varied, \kappa (T) is found to be qualitatively unaltered which implies that the anharmonic effect does not change the qualitative behavior of \kappa (T).