Dynamical stability and low-temperature lattice specific heat of one-dimensional fullerene polymers

TL;DR

This paper investigates the dynamical stability of one-dimensional fullerene polymers and their low-temperature specific heat, revealing only a subset of models are stable and that their specific heat exhibits a unique temperature dependence.

Contribution

The study identifies which fullerene polymer models are dynamically stable and characterizes their low-temperature specific heat behavior.

Findings

Only 7 out of 54 proposed models are dynamically stable.

Stable models show specific heat proportional to the square root of temperature.

The temperature range for this behavior is broader than in single-walled carbon nanotubes.

Abstract

We theoretically investigate the dynamical stability of one-dimensional fullerene polymers by computing the phonon dispersion relations within the atomistic approach. We find that only seven models among 54 models proposed previously [J. Phys. Chem. A 119, 3048 (2015)] are dynamically stable. We show that the low temperature specific heat of them is proportional to the square root of the temperature in a wider range of temperature compared to the case of single-walled carbon nanotubes.