arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2001.02903cond-mat.mtrl-sciphysics.chem-ph
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石墨烯双层膜的热力学性质

Thermodynamic properties of graphene bilayers

Carlos P. Herrero, Rafael Ramirez

摘要:

采用路径积分分子动力学(PIMD)模拟方法研究了石墨烯双层膜的热力学性质,考虑了振动模式的量子化和非谐效应。双层石墨烯已经在12和1500 ° K之间的温度下研究了零外部应力,使用LCBOPII有效势。我们集中在热膨胀,面内和面外的压缩性,和比热。我们的双层石墨烯的结果的意义的额外的见解是从与单层石墨烯和石墨的PIMD模拟获得的数据进行比较。他们还分析了石墨的实验数据。研究了零点效应和热效应对双层石墨烯的面内面积和“实”面积的影响。面内区域的热膨胀系数$α_{xy}$在低温下为负,在$T \gtrsim$ 800 K时为正。在$T \approx 220$ ~K处,最小$α_{xy}$为$-6.6 \times 10^{-6}$ K $^{-1}$。发现石墨烯双层的面内($χ_{xy}$)和面外($χ_z$)压缩率都随着温度的升高而增加,并且低于单层石墨烯的压缩率,高于石墨的压缩率。在300 K时,我们发现双层$χ_{xy} = 9.5 \times 10^{-2}$的$^2$ /eV和$χ_z = 2.97 \times 10^{-2}$ GPa $^{-1}$。从模拟得到的比热的结果进行了比较与那些给出的谐波近似的振动模式。这种方法在低于200 ° K的温度下非常精确。

英文摘要:

Thermodynamic properties of graphene bilayers are studied by path-integral molecular dynamics (PIMD) simulations, considering quantization of vibrational modes and anharmonic effects. Bilayer graphene has been studied at temperatures between 12 and 1500~K for zero external stress, using the LCBOPII effective potential. We concentrate on the thermal expansion, in-plane and out-of-plane compressibility, and specific heat. Additional insight into the meaning of our results for bilayer graphene is obtained from a comparison with data obtained from PIMD simulations for monolayer graphene and graphite. They are also analyzed in view of experimental data for graphite. Zero-point and thermal effects on the in-plane and "real" area of bilayer graphene are studied. The thermal expansion coefficient $α_{xy}$ of the in-plane area is negative at low temperatures and positive for $T \gtrsim$ 800~K. The minimum $α_{xy}$ is $-6.6 \times 10^{-6}$ K$^{-1}$ at $T \approx 220$~K. Both in-plane ($χ_{xy}$) and out-of-plane ($χ_z$) compressibilities of graphene bilayers are found to increase for rising temperature, and turn out to be lower than that corresponding to monolayer graphene and higher than those found for graphite. At 300 K, we find for the bilayer $χ_{xy} = 9.5 \times 10^{-2}$ Å$^2$/eV and $χ_z = 2.97 \times 10^{-2}$ GPa$^{-1}$. Results for the specific heat obtained from the simulations are compared with those given by a harmonic approximation for the vibrational modes. This approach is noticeably accurate at temperatures lower than 200~K.

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