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Compressibility of graphene

机译：石墨烯的可压缩性

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摘要

We develop a theory for the compressibility and quantum capacitance of disordered monolayer and bilayer graphene, including the full hyperbolic band structure and band gap in the latter case. We include the effects of disorder in our theory, which are of particular importance at the carrier densities near the Dirac point. We account for this disorder statistically using two different averaging procedures: first via averaging over the density of carriers directly, and then via averaging in the density of states to produce an effective density of carriers. We also compare the results of these two models with experimental data, and to do this we introduce a model for interlayer screening which predicts the size of the band gap between the low-energy conduction and valence bands for arbitrary gate potentials applied to both layers of bilayer graphene. We find that both models for disorder give qualitatively correct results for gapless systems, but when there is a band gap in the low-energy band structure, the density of states averaging is incorrect and disagrees with the experimental data.
机译：我们开发了无序单层和双层石墨烯的可压缩性和量子电容的理论，包括后一种情况下的全双曲能带结构和带隙。我们将无序的影响包括在我们的理论中，这在狄拉克点附近的载流子密度中特别重要。我们使用两种不同的平均程序从统计学上解释这种疾病：首先通过直接对载流子密度求平均，然后对状态密度求平均以产生有效的载流子密度。我们还将这两个模型的结果与实验数据进行比较，为此，我们引入了一个层间筛选模型，该模型预测了低能导和价带之间的带隙大小，该低能导带和价带适用于两层的任意栅极电势双层石墨烯。我们发现，两种无序模型都可以为无间隙系统给出定性的正确结果，但是当低能带结构中存在带隙时，平均态密度不正确，并且与实验数据不一致。

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  • 来源
    《Physical review》 |2011年第8期|p.085429.1-085429.9|共9页
  • 作者

    D. S. L. Abergel; E. H. Hwang; S. Das Sarma;

  • 作者单位

    Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA;

    Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA;

    Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA;

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  • 正文语种 eng
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  • 关键词

    electronic structure of disordered solids;

    机译：无序固体的电子结构;

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