摘要翻译：
我们给出了含有少量缺陷的非金属晶体自由能的严格计算。低温超前贡献为$\protoT^2$。这进一步给出了一个线性的低温比热，就像眼镜所显示的那样。这些结果还表明，与玻璃中发生的情况类似，几乎完美的晶体的长波长光谱不足以确定其低温行为。
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英文标题：
《A glass-like behavior in the low-temperature specific heat is a natural
  property of any real crystal》
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作者：
A. Cano, A.P. Levanyuk and S.A. Minyukov
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We provide a rigorous calculation of the free energy of a non-metallic crystal containing a small concentration of defects. The low-temperature leading contribution is found to be $\propto T^2$. This further gives a linear-in-$T$ low-temperature specific heat as that exhibited by glasses. These results also show that, similarly to what happens in glasses, the long-wavelength spectrum of a nearly perfect crystal does not suffice to determine its low-temperature behavior.
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PDF链接：
https://arxiv.org/pdf/710.1837