Anisotropic in-plane thermal conductivity observed in few-layer black phosphorus

TL;DR

This study measures the in-plane thermal conductivity of few-layer black phosphorus, revealing significant anisotropy that varies with thickness and is primarily due to anisotropic phonon dispersion.

Contribution

It provides the first detailed measurement of anisotropic in-plane thermal conductivity in few-layer black phosphorus and links it to phonon dispersion characteristics.

Findings

Armchair and zigzag thermal conductivities are ~20 and ~40 W/mK for thicker films.

Thermal conductivities decrease as film thickness reduces.

Anisotropic ratio drops from ~2 to ~1.5 with decreasing thickness.

Abstract

Black phosphorus has been revisited recently as a new two-dimensional material showing potential applications in electronics and optoelectronics. Here we report the anisotropic in-plane thermal conductivity of suspended few-layer black phosphorus measured by micro-Raman spectroscopy. The armchair and zigzag thermal conductivities are ~20 and ~40 W m$^{-1}$ K$^{-1}$ for black phosphorus films thicker than 15 nm, respectively, and decrease to ~10 and ~20 W m$^{-1}$ K$^{-1}$ as the film thickness is reduced, exhibiting significant anisotropy. The thermal conductivity anisotropic ratio is found to be ~2 for thick black phosphorus films and drops to ~1.5 for the thinnest 9.5-nm-thick film. Theoretical modeling reveals that the observed anisotropy is primarily related to the anisotropic phonon dispersion, whereas the intrinsic phonon scattering rates are found to be similar along the armchair and zigzag directions. Surface scattering in the black phosphorus films is shown to strongly suppress the contribution of long-mean-free-path acoustic phonons.