论文标题

石墨和多层石墨烯的Ab-Initio能量学:伯纳尔与菱形堆叠的稳定性

Ab-initio energetics of graphite and multilayer graphene: stability of Bernal versus rhombohedral stacking

论文作者

Nery, Jean Paul, Calandra, Matteo, Mauri, Francesco

论文摘要

在扭曲的双层石墨烯中观察到超导性的观察,与靠近费米水平的平坦带有关。这种相关的电子状态也出现在多层菱形堆积石墨烯(RG)中,该石墨烯(RG)在过去几年中一直受到越来越多的关注。然而,在天然和人造样品中,多层堆叠的Bernal石墨烯(BG)的发生频率更高,因此可以确定其相对稳定性是什么,并且在哪些条件下可能有利于RG。在这里,我们使用第一原理计算研究BG和RG的能量学以及多层堆叠的石墨烯。结果表明,在先前的研究中未考虑的电子温度在确定首选哪个相中起着至关重要的作用。我们还表明,室温下的低能状态由具有特定类型界面的BG,RG和混合BG-RG系统组成。计算所有堆叠序列的能量(SSS)的n = 12层,并使用ISING模型拟合它们,该模型也可用于较大的N。这样,可以根据一些参数来确定和分析低能SSS的顺序。我们的工作阐明了文献中不一致的结果,并为研究外部因素对第一原理计算中多层石墨烯系统稳定性的影响树立了基础。

There has been a lot of excitement around the observation of superconductivity in twisted bilayer graphene, associated to flat bands close to the Fermi level. Such correlated electronic states also occur in multilayer rhombohedral stacked graphene (RG), which has been receiving increasing attention in the last years. In both natural and artificial samples however, multilayer stacked Bernal graphene (BG) occurs more frequently, making it desirable to determine what is their relative stability and under which conditions RG might be favored. Here, we study the energetics of BG and RG in bulk and also multilayer stacked graphene using first-principles calculations. It is shown that the electronic temperature, not accounted for in previous studies, plays a crucial role in determining which phase is preferred. We also show that the low energy states at room temperature consist of BG, RG and mixed BG-RG systems with a particular type of interface. Energies of all stacking sequences (SSs) are calculated for N = 12 layers, and an Ising model is used to fit them, which can be used for larger N as well. In this way, the ordering of low energy SSs can be determined and analyzed in terms of a few parameters. Our work clarifies inconsistent results in the literature, and sets the basis to studying the effect of external factors on the stability of multilayer graphene systems in first principles calculations.

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