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Measuring Phonon Mean Free Path Distributions by Probing Quasiballistic Phonon Transport in Grating Nanostructures

机译:通过探测光栅纳米结构中准声子声子传输来测量声子平均自由程分布。

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摘要

Heat conduction in semiconductors and dielectrics depends upon their phonon mean free paths that describe the average travelling distance between two consecutive phonon scattering events. Nondiffusive phonon transport is being exploited to extract phonon mean free path distributions. Here, we describe an implementation of a nanoscale thermal conductivity spectroscopy technique that allows for the study of mean free path distributions in optically absorbing materials with relatively simple fabrication and a straightforward analysis scheme. We pattern 1D metallic grating of various line widths but fixed gap size on sample surfaces. The metal lines serve as both heaters and thermometers in time-domain thermoreflectance measurements and simultaneously act as wire-grid polarizers that protect the underlying substrate from direct optical excitation and heating. We demonstrate the viability of this technique by studying length-dependent thermal conductivities of silicon at various temperatures. The thermal conductivities measured with different metal line widths are analyzed using suppression functions calculated from the Boltzmann transport equation to extract the phonon mean free path distributions with no calibration required. This table-top ultrafast thermal transport spectroscopy technique enables the study of mean free path spectra in a wide range of technologically important materials.
机译:半导体和电介质中的热传导取决于它们的声子平均自由程,该平均声程描述了两个连续的声子散射事件之间的平均传播距离。非扩散声子传输被用来提取声子平均自由程分布。在这里,我们描述了一种纳米级热导率光谱技术的实现,该技术允许以相对简单的制造和简单的分析方案研究光学吸收材料中的平均自由程分布。我们对各种线宽的一维金属光栅进行构图,但样品表面上的间隙尺寸固定。金属线在时域热反射率测量中既充当加热器,又充当温度计,同时还充当线栅偏振器,以保护下面的基板免于直接的光激发和加热。我们通过研究在各种温度下硅的长度相关的热导率来证明该技术的可行性。使用从玻耳兹曼输运方程计算的抑制函数来分析在不同金属线宽下测得的热导率,从而无需校准即可提取声子平均自由程分布。这种台式超快热传输光谱技术可以研究各种重要技术材料中的平均自由程光谱。

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