The role of dielectric screening of electron-hole interaction in van der Waals heterostructures is theoretically investigated. A comparison between models available in the literature for describing these interactions is made and the limitations of these approaches are discussed. A simple numerical solution of Poisson's equation for a stack of dielectric slabs based on a transfer matrix method is developed, enabling the calculation of the electron-hole interaction potential at very low computational cost and with reasonable accuracy. Using different potential models, direct and indirect exciton binding energies in these systems are calculated within Wannier-Mott theory, and a comparison of theoretical results with recent experiments on excitons in two-dimensional materials is discussed.

中文翻译：

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范德华异质结构中电子-空穴相互作用的静电

理论上研究了介电筛选电子-空穴相互作用在范德华力异质结构中的作用。进行了文献中描述这些相互作用的模型之间的比较，并讨论了这些方法的局限性。提出了一种基于传递矩阵法的电介质板叠堆泊松方程的简单数值解，从而可以以非常低的计算成本和合理的精度计算电子-空穴相互作用势。使用不同的势模型，在Wannier-Mott理论中计算了这些系统中的直接和间接激子结合能，并讨论了理论结果与二维材料中激子的最新实验结果的比较。