论文标题
二维材料中激素物理学的理论方法
Theoretical methods for excitonic physics in two-dimensional materials
论文作者
论文摘要
在本教程中，我们向读者介绍了确定激发波函数和相应特征力的几种理论方法。涵盖的方法是分析，半分析或数字。我们将明确与不同方法相关的所有细节，从而使新移民可以自行进行研究，而不会体验到陡峭的学习曲线。教程以一种变异方法开头，并以简单的半分析方法结束，以在二维（2D）间隙材料中求解伯特盐方程。对于本教程中针对的第一个方法，我们关注单层硝酸硼（HBN）和过渡金属二北核化（TMD），因为这些是2D激子领域的典型材料。为了解释Bethe-salpeter方法，我们选择了有偏的双层石墨烯，该石墨烯呈现出可隧道的带隙。该系统具有适量的复杂性（不过多）。这允许在可以易于推广到更复杂的系统或将其应用于更简单的模型的上下文中呈现Bethe-Salpeter方程的解决方案。
In this tutorial we introduce the reader to several theoretical methods of determining the exciton wave functions and the corresponding eigenenergies. The methods covered are either analytical, semi-analytical, or numeric. We make explicit all the details associated with the different methods, thus allowing newcomers to do research on their own, without experiencing a steep learning curve. The tutorial starts with a variational method and ends with a simple semi-analytical approach to solve the Bethe-Salpeter equation in two-dimensional (2D) gapped materials. For the first methods addressed in this tutorial, we focus on a single layer of hexagonal Boron Nitride (hBN) and of transition metal dichalcogenide (TMD), as these are exemplary materials in the field of 2D excitons. For explaining the Bethe- Salpeter method we choose the biased bilayer graphene, which presents a tunnable band gap. The system has the right amount of complexity (without being excessive). This allows the presentation of the solution of the Bethe-Salpeter equation in a context that can be easily generalized to more complex systems or to apply it to simpler models.
