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arXiv 1403.2637cond-mat.mes-hallcond-mat.stat-mech
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量子晶体膜的热力学

Thermodynamics of quantum crystalline membranes

B. Amorim, R. Roldán, E. Cappelluti, A. Fasolino, F. Guinea, M. I. Katsnelson

备注：
13 pages, 1 figure
发表信息：
Phys. Rev. B 89, 224307 (2014)
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摘要：

我们研究了二维结晶膜，如石墨烯和相关化合物，在低温量子制度$T\rightarrow0$的热力学性质和晶格稳定性。一个关键的作用是由平面内和平面外晶格模式之间的非谐耦合，在量子极限，有非常不同的后果比在经典制度。延迟的作用，即频率的依赖性，在有效的非谐相互作用原来是至关重要的量子制度。我们确定了一个交叉温度，$T^{*}$，经典和量子制度之间，这是$\sim 70 - 90$ K的石墨烯。在$T^{*}$以下，热容和热膨胀系数随着温度的降低按幂律减小，对于$T\rightarrow0$趋向于零，如热力学第三定律所要求的。

英文摘要：

We investigate the thermodynamic properties and the lattice stability of two-dimensional crystalline membranes, such as graphene and related compounds, in the low temperature quantum regime $T\rightarrow0$. A key role is played by the anharmonic coupling between in-plane and out-of plane lattice modes that, in the quantum limit, has very different consequences than in the classical regime. The role of retardation, namely of the frequency dependence, in the effective anharmonic interactions turns out to be crucial in the quantum regime. We identify a crossover temperature, $T^{*}$, between classical and quantum regimes, which is $\sim 70 - 90$ K for graphene. Below $T^{*}$, the heat capacity and thermal expansion coefficient decrease as power laws with decreasing temperature, tending to zero for $T\rightarrow0$ as required by the third law of thermodynamics.

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