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Electrodynamics of two-dimensional materials: Role of anisotropy

机译：二维材料的电动力学：各向异性的作用

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摘要

Two-dimensional (2D) materials are intrinsically anisotropic, and an accurate description of their out-of-plane response to an electromagnetic field is more and more important as new materials with diverse properties are proposed. Their electromagnetic properties are often modeled using a single sheet with a surface susceptibility or conductivity or by means of a thin film of finite thickness with an effective bulk permittivity. The discordances between these two approaches lead to two irreconcilable interpretations of the optical characterizations and uncertain predictions of electromagnetic responses. Here, we fully account for the particular anisotropy of 2D materials and reconcile both approaches. We propose a unified description for the electromagnetic properties that applies to 2D heterostructures for all polarizations and at all angles of incidence. In particular, we determine the class of materials for which both models can be used indifferently and when particular care should be taken to select the thickness and the tensorial response of the effective thin film. We illustrate our conclusions on extensively studied experimental quantities such as transmittance and ellipsometric data of graphene and metal dichalcogenides. We discuss similarities and discrepancies reported in the literature when single-sheet or thin-film models are used.
机译：二维（2D）材料本质上是各向异性的，随着提出了具有各种特性的新材料，准确描述它们对电磁场的面外响应越来越重要。通常使用具有表面磁化率或电导率的单片或通过具有有效体积介电常数的有限厚度的薄膜对它们的电磁特性进行建模。这两种方法之间的不一致导致对光学特性的两种不可调和的解释以及对电磁响应的不确定预测。在这里，我们充分考虑了2D材料的特殊各向异性，并协调了这两种方法。我们建议对电磁特性的统一描述，该电磁特性适用于所有极化和所有入射角的2D异质结构。特别是，我们确定了两种模型都可以无差别地使用的材料类别，以及何时应特别注意选择有效薄膜的厚度和张量响应的材料类别。我们用大量研究的实验量（例如石墨烯和金属二卤化物的透射率和椭偏数据）说明了我们的结论。我们讨论使用单页或薄膜模型时在文献中报道的相似性和差异。

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  • 来源
    《Physical review》 |2018年第12期|125419.1-125419.8|共8页
  • 作者

    Bruno Majerus; Evdokia Dremetsika; Michael Lobet; Luc Henrard; Pascal Kockaert;

  • 作者单位

    Department of Physics and Namur Institute of Structured Matters, University of Namur, 61 rue de Bruxelles, B-5000 Namur, Belgium;

    OPERA-photonics, Universite libre de Bruxelles, 50 Avenue F. D. Roosevelt, Code Postal 194/5, B-1050 Bruxelles, Belgium;

    Department of Physics and Namur Institute of Structured Matters, University of Namur, 61 rue de Bruxelles, B-5000 Namur, Belgium,John A. Paulson School of Engineering and Applied Sciences, Harvard University, 9 Oxford Street, Cambridge, Massachusetts 02138, USA;

    Department of Physics and Namur Institute of Structured Matters, University of Namur, 61 rue de Bruxelles, B-5000 Namur, Belgium;

    OPERA-photonics, Universite libre de Bruxelles, 50 Avenue F. D. Roosevelt, Code Postal 194/5, B-1050 Bruxelles, Belgium;

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