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arXiv 0907.1040cond-mat.mes-hall
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石墨烯纳米带的电容

Capacitance of graphene nanoribbons

A. A. Shylau, J. W. Klos, I. V. Zozoulenko

摘要:

我们提出了一个分析理论的栅极静电和经典和量子电容的石墨烯纳米带(GNRs),并比较它与精确的自洽的数值计算的基础上紧束缚p轨道哈密顿在Hartree近似。我们表明,分析理论是在一个很好的定性(在某些方面定量)与精确计算的协议。然而,存在一些重要的差异。为了了解这些差异的起源,我们调查的自洽的电子结构和电荷密度分布的纳米带和上述差异的简单的静电模型无法捕捉经典的栅极静电的GNRs。反过来,经典静电学的失败被追溯到量子力学效应,导致与非相互作用电子描述相比,自洽电荷分布的显着修改。讨论了电子-电子相互作用对GNRs电子结构和电容的影响。精确的数值计算表明,GNRs中的密度分布和电势分布与传统的分裂栅量子线中的密度分布和电势分布有着本质的不同;同时,GNRs中的电子分布和电势分布与劈裂边过生长量子线中的电子分布和电势分布有着本质的相似。最后,我们讨论了从实验数据中提取量子电容的实验。

英文摘要:

We present an analytical theory for the gate electrostatics and the classical and quantum capacitance of the graphene nanoribbons (GNRs) and compare it with the exact self-consistent numerical calculations based on the tight-binding p-orbital Hamiltonian within the Hartree approximation. We demonstrate that the analytical theory is in a good qualitative (and in some aspects quantitative) agreement with the exact calculations. There are however some important discrepancies. In order to understand the origin of these discrepancies we investigate the self-consistent electronic structure and charge density distribution in the nanoribbons and relate the above discrepancy to the inability of the simple electrostatic model to capture the classical gate electrostatics of the GNRs. In turn, the failure of the classical electrostatics is traced to the quantum mechanical effects leading to the significant modification of the self-consistent charge distribution in comparison to the non-interacting electron description. The role of electron-electron interaction in the electronic structure and the capacitance of the GNRs is discussed. Our exact numerical calculations show that the density distribution and the potential profile in the GNRs are qualitatively different from those in conventional split-gate quantum wires; at the same time, the electron distribution and the potential profile in the GNRs show qualitatively similar features to those in the cleaved-edge overgrown quantum wires. Finally, we discuss an experimental extraction of the quantum capacitance from experimental data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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