非晶态系统的低温heat capacity：纳米尺度物理学
Low temperature heat capacity of amorphous systems: physics at nano-scales
摘要：
与以往对玻色子峰的研究不同，我们分析了纳米尺度非晶态固体（$\sim 3 nm$）中色散力的态密度和比热贡献。我们的分析表明，光谱大部分区域的平均态密度呈普遍的半圆形形式，其边缘具有超指数增加的行为。后者反过来导致比热，甚至在纳米尺度下也在$T < 1^o \; {\bf K}$以下线性表现，并且令人惊讶地与实验一致，尽管后者是在宏观尺度下进行的。色散力在微观尺度上的无处不在表明我们的结果也适用于其他无序材料。
英文摘要：
Contrary to previous studies of boson peak, we analyze the density of states and specific heat contribution of dispersion forces in an amorphous solid of nano-scales ($\sim 3 nm$). Our analysis indicates a universal semi-circle form of the average density of states in the bulk of the spectrum along with a super-exponentially increasing behavior in its edge. The latter in turn leads to a specific heat, behaving linearly below $T < 1^o \; {\bf K}$ even at nano-scales, and, surprisingly agreeing with the experiments although the latter are carried out at macroscopic scales. The omnipresence of dispersion forces at microscopic scales indicates the application of our results to other disordered materials too.
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