考虑空间尺度对声子群速度的影响,采用Callaway热导率模型计算了单晶硅纳米线的晶格热导率,讨论了三声子Umklapp过程、电子-声子散射、缺陷-声子散射以及边界-声子散射对热导率的影响.结果表明,纳米线的热导率比体材料小一个数量级,与不考虑受限声子群速度的结果相比,和实验符合得更好.另外,边界散射使得高温区的热导率体现出与温度几乎无关的特性.
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