Abstract The phonon mode dependent lattice thermal conductivity, κ p of nanoscale black phosphorus is theoretically investigated in the wide temperature range 10 K–450 K and good fit with experimental data is obtained. The explicit contributions from transverse and longitudinal phonon modes to κ p and their anisotropic factors are discussed. The total phonon scattering rate along zigzag direction is found to merge with low frequency transverse phonon scattering rate for ω ∼ 3.06 THz and for ω ∼ > 3.06 THz scattering from high frequency transverse phonons becomes important. In the low frequency region, contribution to κ p from low frequency transverse normal phonons is significant and above peak thermal conductivity, high frequency transverse Umklapp phonons contribution to the total thermal conductivity is important. The onset of phonon scattering via Umklapp processes for zigzag and armchair black phosphorus are found at 3.06 THz and 2.44 THz, respectively.

中文翻译：

---

纳米级黑磷与声子模式相关的晶格热导率

摘要 从理论上研究了纳米级黑磷在 10 K-450 K 的宽温度范围内与声子模式相关的晶格热导率 κ p 并获得了与实验数据良好的拟合。讨论了横向和纵向声子模式对 κ p 及其各向异性因子的显式贡献。发现沿之字形方向的总声子散射率与 ω ∼ 3.06 THz 的低频横向声子散射率合并，并且对于 ω ∼ > 3.06 THz 来自高频横向声子的散射变得重要。在低频区域，低频横向法向声子对 κ p 的贡献显着，高于峰值热导率，高频横向 Umklapp 声子对总热导率的贡献很重要。