表面粗糙度控制的纳米线中声子输运的普适性
Universality of phonon transport in surface-roughness dominated nanowires
摘要：
我们从理论和数值两方面分析了具有表面粗糙度的二维纳米线的热导率\k{appa}随温度的变化。虽然每个样品的特征在于三个独立的参数-线的直径（宽度），相关长度和强度的表面张力-我们的理论预测，存在一个普遍的制度，其中\k{appa}是一个功能的所有三个模型参数的单一组合。声学声子在细导线中传播的数值模拟证实了这种普遍性，并预测\k{appa}对直径d的d 1/2依赖性。
英文摘要：
We analyze, both theoretically and numerically, the temperature dependent thermal conductivity \k{appa} of two-dimensional nanowires with surface roughness. Although each sample is characterized by three independent parameters - the diameter (width) of the wire, the correlation length and strength of the surface corrugation - our theory predicts that there exists a universal regime where \k{appa} is a function of a single combination of all three model parameters. Numerical simulations of propagation of acoustic phonons across thin wires confirm this universality and predict a d 1/2 dependence of \k{appa} on the diameter d.
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