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Coherent phonon scattering effects on thermal transport in thin semiconductor nanowires

机译：相干声子散射对半导体细纳米线中热传输的影响

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摘要

The thermal conductance by phonons of a quasi-one-dimensional solid with isotope or defect scattering is studied using the Landauer formalism for thermal transport. The conductance shows a crossover from localized to Ohmic behavior, just as for electrons; however, the nature of this crossover is modified by delocalization of phonons at low frequency. A scalable numerical transfer-matrix technique is developed and applied to model quasi-one-dimensional systems in order to confirm simple analytic predictions. We argue that existing thermal conductivity data on semiconductor nanowires, showing an unexpected linear temperature dependence, can be understood through a model that combines incoherent surface scattering for short-wavelength phonons with nearly ballistic long-wavelength phonons. It is also found that even when strong phonon localization effects would be observed if defects are distributed throughout the wire, localization effects are much weaker when defects are only at the boundary, as in current experiments.
机译：使用Landauer形式主义进行热输运，研究了具有同位素或缺陷散射的准一维固体的声子的热导。电导显示出从局部行为到欧姆行为的交叉，就像电子一样。但是，这种交越的本质是通过声子在低频处的离域来修改的。开发了可扩展的数值传递矩阵技术，并将其应用于准一维系统模型，以确认简单的分析预测。我们认为，通过将短波声子的非相干表面散射与近乎弹道的长波声子结合起来的模型，可以理解半导体纳米线上现有的热导率数据，该数据显示出意外的线性温度依赖性。还发现，即使缺陷分布在整个导线上，即使在观察到强声子定位效应的情况下，当缺陷仅在边界处时，定位效应也要弱得多，如当前实验所示。

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