论文标题

单层和多层材料和异质结构的光学建模

Optical modelling of single and multilayer 2D materials and heterostructures

论文作者

Majérus, Bruno, Henrard, Luc, Kockaert, Pascal

论文摘要

正如他们的名字所暗示的那样,二维材料被认为没有厚度。他们的光学响应先前是通过纯粹的双度表面电流或非常薄的膜对其进行一些矛盾的结果来建模的。多层材料的多层堆栈的出现以及垂直范德华异质结构中不同材料的组合突出显示,这些材料的厚度有限。在本文中,我们提出了一个新的模型,该模型可以调解两种方法,并展示了如何从每个单个层的二维响应中计算出堆叠的二维层的体积属性,相反。在我们的方法中,每个双偶相层都被真空包围,并被描述为一种转移矩阵,其内在参数不依赖于外部介质。这提供了连续薄膜和离散层之间的联系。我们展示了如何对二维材料的异质结构进行建模,并确定代表零厚度极限的二维材料的当前纸的参数,即平面表面易感性和平面外移位易感性。 我们表明,我们的统一模型与现有的椭圆测量数据完全兼容,其可靠性与现有接口模型相同,但具有不同的表面敏感性或散装介电函数的值。我们详细讨论了差异的起源,并表明我们的方法允许确定二维材料的内在属性,具有在同一框架中描述了多层和单层系统的优势。

Bidimensional materials are ideally viewed as having no thickness, as their name suggests. Their optical response have been previously modelled by a purely bidimensional surface current or by a very thin film with some contradictory results. The advent of multilayer stacks of bidimensional materials and combinations of different materials in vertical van der Waals heterostructures highlights however that these materials have a finite thickness. In this article, we propose a new model that reconciles both approaches and we show how volume properties of stacked bidimensional layers can be calculated from the bidimensional response of each individual layer, and conversely. In our approach, each bidimensionnal layers is surrounded by vacuum and described as a kind of transfer matrix with intrinsic parameters that do not depend on the external medium. This provides a link between continuous thin films and discrete layers. We show how to model heterostructures of bidimensional materials and identify the parameters of the current sheet that represents the bidimensional material in the zero-thickness limit, namely the in-plane surface susceptibility and the out-of-plane displacement susceptibility. We show that our unified model is perfectly compatible with existing ellipsometric data with the same reliability as the existing interface model but with different values of the surface susceptibility or bulk dielectric function. We discuss in details the origin of the discrepancies and show that our approach allows to determine intrinsic properties of the bidimensional materials with the advantage that multilayer and monolayer systems are described in a same framework.

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