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arXiv 1806.04871cond-mat.mtrl-sci
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非微扰法研究热电板条中的偏心振动引起的高温热传输

Off-center Rattling Triggers High-Temperature Thermal Transport in Thermoelectric lathrates: Non-Perturbative Approach

Qing Xi, Zhongwei Zhang, Tsuneyoshi Nakayama, Jie Chen, Jun Zhou, Baowen Li

摘要:

晶格热导率$κ_{\rm L}$的I型笼形包封“偏离中心”的客体原子的行为方式,是从那些传统的晶体,如中心上的I型笼形包合物的急剧不同。在几十K以上,后者随温度升高按1/ $T$降低。而偏离中心的包合物的$κ_{\rm L}$在几十K以上线性增加T。进一步增加温度高于$T\gtrsim$ 100 K,$κ_{\rm L}$饱和而不表现出明显的T-依赖性。在此温度范围内,基于微扰理论的$κ_{\rm L}$的标准公式是不可行的。本文基于“非微扰”理论,考虑了客体原子非振动偏心振动态与笼壳层的相互作用,提出了一种$κ_{\rm L}$理论。值得注意的是,我们的理论与观察到的$κ_{\rm L}(T)$偏心笼形物的大小,笼体积$Ω$依赖性和T依赖性非常一致。

英文摘要:

Lattice thermal conductivities $κ_{\rm L}$ of type-I clathrates encapsulating "off-center" guest atoms behave in a way that is sharply different from those of conventional crystals such as on-center type-I clathrates. The latter decreases with increasing temperature according to 1/$T$ above a few tens\,K. While, $κ_{\rm L}$ of off-center clathrates increase T-linearly above a few tens K. Further increasing temperature above $T\gtrsim$100 K, $κ_{\rm L}$ saturates without exhibiting appreciable T-dependence. In this temperature regime, the standard formulation of $κ_{\rm L}$ based on the perturbation theory is unfeasible. We herein present a theory of $κ_{\rm L}$ based on "non-perturbative" approach by taking into account the interaction between non-vibrational off-center rattling states of guest atoms and cage shells. It is remarkable that our theory shows excellent agreement with observed $κ_{\rm L}(T)$ for off-center clathrates in magnitudes, the cage volume $Ω$-dependence and T-dependence.

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