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arXiv 0812.0518cond-mat.mtrl-scicond-mat.mes-hall
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石墨烯中的声子热传导

Phonon Thermal Conduction in Graphene

D. L. Nika, E. P. Pokatilov, A. S. Askerov, A. A. Balandin

摘要:

从理论上研究了单层石墨烯的声子热导率。用价力场方法计算了石墨烯晶格中所有极化方向和晶向的声子色散。利用精确的声子色散和布里渊区,并考虑动量和能量守恒定律允许的所有声子弛豫通道,精确地处理了三声子Umklapp过程。石墨烯的独特性体现在二维声子态密度和对声子Umklapp散射相空间的限制上。缺陷和石墨烯边缘上的声子散射也被包括在模型中。的Gruneisen参数,这是确定从从头算理论作为声子波矢量和偏振分支的函数,并从实验值的范围内进行计算。据发现,单层石墨烯的近室温热导率,计算与现实的Gruneisen参数,是在〜 2000 - 5000 W/mK的范围内,这取决于缺陷浓度和粗糙度的边缘。由于较长的声子平均自由程,即使在室温下,石墨烯边缘也对热导率产生强烈影响。所得到的结果是在良好的协议与最近的测量悬浮石墨烯的热导率。

英文摘要:

We investigated theoretically the phonon thermal conductivity of single layer graphene. The phonon dispersion for all polarizations and crystallographic directions in graphene lattice was obtained using the valence-force field method. The three-phonon Umklapp processes were treated exactly using an accurate phonon dispersion and Brillouin zone, and accouting for all phonon relaxation channels allowed by the momentum and energy conservation laws. The uniqueness of graphene was reflected in the two-dimensional phonon density of states and restrictions on the phonon Umklapp scattering phase-space. The phonon scattering on defects and graphene edges has been also included in the model. The calculations were performed for the Gruneisen parameter, which was determined from the ab initio theory as a function of the phonon wave vector and polarization branch, and for a range of values from experiments. It was found that the near room-temperature thermal conductivity of single layer graphene, calculated with a realistic Gruneisen parameter, is in the range ~ 2000 - 5000 W/mK depending on the defect concentration and roughness of the edges. Owing to the long phonon mean free path the graphene edges produce strong effect on thermal conductivity even at room temperature. The obtained results are in good agreement with the recent measurements of the thermal conductivity of suspended graphene.

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