非晶纳米膜中Lamb模与二能级系统的相互作用
Interaction of Lamb modes with two-level systems in amorphous nanoscopic membranes
摘要：
使用一个广义模型之间的相互作用的两个能级系统（TLS）和任意变形的材料，我们计算的相互作用的Lamb模式与TLS在非晶纳米膜。我们比较了不同对称性的兰姆模的平均自由程，并计算了热导率$κ$。在无限宽膜的极限下，导热系数是发散的。然而，膜的有限尺寸对声子频率施加较低的截止，这导致$κ\propto T(a+b\ln T)$的温度依赖性。这种温度依赖性是低温下TLS限制的热导率的标志。
英文摘要：
Using a generalized model of interaction between a two-level system (TLS) and an arbitrary deformation of the material, we calculate the interaction of Lamb modes with TLSs in amorphous nanoscopic membranes. We compare the mean free paths of the Lamb modes with different symmetries and calculate the heat conductivity $κ$. In the limit of an infinitely wide membrane, the heat conductivity is divergent. Nevertheless, the finite size of the membrane imposes a lower cut-off for the phonons frequencies, which leads to the temperature dependence $κ\propto T(a+b\ln T)$. This temperature dependence is a hallmark of the TLS-limited heat conductance at low temperature.
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