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Plasmons in graphene nanoribbons

机译：石墨烯纳米带中的等离子体

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摘要

We calculate the dielectric function and plasmonic response of armchair (aGNRs) and zigzag (zGNRs) graphene nanoribbons using the self-consistent-field approach within the Markovian master equation formalism (SCF-MMEF). We accurately account for electron scattering with phonons, ionized impurities, and line-edge roughness and show that electron scattering with surface optical phonons is much more prominent in GNRs than in graphene. We calculate the loss function, plasmon dispersion, and the plasmon propagation length in supported GNRs. Midinfrared plasmons in supported (3N+2)-aGNRs can propagate as far as several microns at room temperature, with 4-5-nm-wide ribbons having the longest propagation length. In other types of aGNRs and in zGNRs, the plasmon propagation length seldom exceeds 100 nm. Plasmon propagation lengths are much longer on nonpolar (e.g., diamondlike carbon) than on polar substrates (e.g., SiO_2 or hBN), where electrons scatter strongly with surface optical phonons. We also show that the aGNR plasmon density is nearly uniform across the ribbon, while in zGNRs, because of the highly localized edge states, plasmons of different spin polarization are accumulated near the opposite edges.
机译：我们使用马尔可夫主方程形式主义（SCF-MMEF）中的自洽场方法来计算扶手椅（aGNRs）和之字形（zGNRs）石墨烯纳米带的介电函数和等离子体响应。我们精确地解释了声子，离子杂质和线边缘粗糙度对电子的散射，并表明表面光学声子对电子的散射在GNR中比在石墨烯中更为突出。我们在支持的GNR中计算损失函数，等离激元色散和等离激元传播长度。受支持的（3N + 2）-aGNR中的中红外等离激元可以在室温下传播多达几微米，其中4-5 nm宽的色带具有最长的传播长度。在其他类型的aGNR和zGNR中，等离激元传播长度很少超过100 nm。在非极性（例如，类金刚石碳）上，等离子的传播长度比在极性基底（例如，SiO_2或hBN）上的电子要长得多，在极性基底上，电子会被表面光子强烈散射。我们还表明，aGNR等离子体激元密度在带上几乎均匀，而在zGNR中，由于高度局部化的边缘状态，不同自旋极化的等离子体激元在相对边缘附近积累。

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  • 来源
    《Physical review》 |2017年第12期|125417.1-125417.12|共12页
  • 作者

    F. Karimi; I. Knezevic;

  • 作者单位

    Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA;

    Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA;

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