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arXiv 2007.14031cond-mat.dis-nn
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非晶硅中模态热导率的定量化

Quantifying Modal Thermal Conductivity in Amorphous Silicon

Yanguang Zhou

摘要:

虽然有几种方法,例如,非谐晶格动力学和简正模分解,以计算完美晶体中的模态晶格振动信息,振动的模态信息,例如,在非晶态固体中,振动弛豫时间、群速度和平均自由程仍然是捕获的挑战。通过对简正模分解法和结构因子法的系统分析,得出了在结构因子法中应用有效波矢可以计算振动色散的结论,而简正模分解法计算振动弛豫时间存在问题,因为在Gamma点上不能定义群速度。我们还表明,由系统温度引起的非谐性在非晶材料中的传播模式的弛豫时间的影响很小,因此,相应的模式和总热导率是温度无关的,当所有的振动被假定为激发。非传播模式,即,扩散子通过不同振动模式之间的热耦合传导热量,并且可以使用Allen-Feldman理论通过谐波晶格动力学计算。因此,当所有的振动模式被激活时,由扩散子贡献的热导率也是与温度无关的,这是分子动力学模拟中的情况。计算结果表明,传播子和扩散子的总热导率分别为50%和50%,与Green-Kubo平衡分子动力学计算结果吻合较好。通过修正非晶态固体振动的激发态,结构因子法和Allen-Feldman理论计算的热导率能完全反映实验测量的热导率随温度的变化。

英文摘要:

While there are several methods, e.g., anharmonic lattice dynamics and normal mode decomposition, to compute the modal lattice vibrational information in perfect crystals, the modal information of vibrations, e.g., vibrational relaxation time, group velocity and mean free path, in amorphous solids are still challenge to be captured. By systematically analyzing the normal mode decomposition and structure factor methods, we conclude that the vibrational dispersion can be calculated by applying effective wave vectors in the structure factor method, while the vibrational relaxation time calculated by the normal mode decomposition method is questionable since the group velocity cannot be defined on the Gamma point. We also show that the anharmonicity caused by the system temperature has little effect on the relaxation times of the propagating modes in amorphous materials, and therefore, the corresponding modal and total thermal conductivity is temperature independent when all the vibrations are assumed to be excited. The non-propagating modes, i.e., diffusons, conduct heat via thermal coupling between different vibrational modes, and can be calculated by harmonic lattice dynamics using Allen-Feldman theory. As a result, the thermal conductivity contributed from diffusons is also temperature independent when all the vibrational modes are activated which is the situation in molecular dynamics simulations. The total thermal conductivity concerning both propagons (50%) and diffusons (50%) agree quite well with the results computed using Green-Kubo equilibrium molecular dynamics. By correcting the excitation state of the vibrations in amorphous solids, the thermal conductivity calculated by the structure factor method and Allen-Feldman theory can fully capture the experimentally measured temperature-dependent thermal conductivity.

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