Physics-Based Thermal Conductivity Model for Metallic Single-Walled Carbon Nanotube Interconnects

Abstract

In this letter, a closed-form analytical model for temperature-dependent longitudinal diffusive lattice thermal conductivity (κ) of a metallic single-walled carbon nanotube (SWCNT) has been addressed. Based on the Debye theory, the second-order three-phonon Umklapp, mass difference (MD), and boundary scatterings have been incorporated to formulate κ in both low- and high-temperature regimes. It is proposed that κ at low temperature (T) follows the T3 law and is independent of the second-order three-phonon Umklapp and MD scatterings. The form factor due to MD scattering also plays a key role in the significant variation of κ in addition to the SWCNT length. The present diameter-independent model of κ agrees well with the available experimental data on suspended intrinsic metallic SWCNTs over a wide range of temperature and can be carried forward for electrothermal analyses of CNT-based interconnects.