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arXiv 2107.04731cond-mat.mtrl-sci
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特征尺寸对GeTe晶体集体声子输运的影响

Effect of characteristic size on the collective phonon transport in crystalline GeTe

Kanka Ghosh, Andrzej Kusiak, Jean-Luc Battaglia

摘要:

采用第一性原理密度泛函方法结合动力学集体模型方法研究了GeTe晶体中特征尺寸变化对声子热输运的影响.声子热输运的特征尺寸依赖性揭示了一个有趣的集体声子输运制度,位于弹道和扩散输运制度之间。因此,已经进行了系统的研究,以描述声子流体力学的签名通过晶粒尺寸和温度之间的竞争效应。一个特征的非局域长度与声子流体力学和热波传播长度已被提取。声子流体力学和这些长度尺度之间的联系进行了讨论的克努森数。此外,在中间尺寸范围内,热导率作为特征尺寸的函数的标度关系作为流体动力学行为的强度的关键指标而出现。关于正常和电阻性散射率的比率已被用来理解这些不同的标度关系,这似乎控制的强度和显着的可见性的集体声子输运GeTe。该系统的研究强调了温度和特征尺寸对GeTe中声子流体力学的竞争效应的重要性,这可以更好地理解低热导率材料中声子流体力学及其控制参数的一般行为和后果。

英文摘要:

We study the effect of characteristic size variation on the phonon thermal transport in crystalline GeTe for a wide range of temperatures using the first-principles density-functional method coupled with the kinetic collective model approach. The characteristic size dependence of phonon thermal transport reveals an intriguing collective phonon transport regime, located in between the ballistic and the diffusive transport regimes. Therefore, systematic investigations have been carried out to describe the signatures of phonon hydrodynamics via the competitive effects between grain size and temperature. A characteristic nonlocal length associated with phonon hydrodynamics and a heat wave propagation length has been extracted. The connections between phonon hydrodynamics and these length scales are discussed in terms of the Knudsen number. Further, the scaling relation of thermal conductivity as a function of characteristic size in the intermediate size range emerges as a crucial indicator of the strength of the hydrodynamic behavior. A ratio concerning normal and resistive scattering rates has been employed to understand these different scaling relations, which seems to control the strength and prominent visibility of the collective phonon transport in GeTe. This systematic investigation emphasizes the importance of the competitive effects between temperature and characteristic size on phonon hydrodynamics in GeTe, which can lead to a better understanding of the generic behavior and consequences of the phonon hydrodynamics and its controlling parameters in low-thermal conductivity materials.

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