论文标题
分析定量的半古典方法，用于洛杉矶 - 统计效应和电离2D激子的电离
Analytical Quantitative Semi-Classical Approach to the LoSurdo-Stark Effect and Ionization in 2D excitons
论文作者
论文摘要
使用半古典方法，由于外部静态电场，我们得出了二维材料中激素电离速率的完全分析表达，这消除了对复杂数值计算的需求。我们的公式与基于外部复合体缩放方法的更复杂的数值方法显示了定量一致，该方法解决了一个非富特征值问题，产生了复杂的能量特征值，其中想象中的部分描述了电离率。在过渡金属二核苷中的六角形硼和$ A- $激子中的激子的结果作为一个简单的例子。该理论的扩展是在过渡金属二分法中包括自旋 - 轨道分裂的激子是微不足道的。
Using a semi-classical approach, we derive a fully analytical expression for the ionization rate of excitons in two-dimensional materials due to an external static electric field, which eliminates the need for complicated numerical calculations. Our formula shows quantitative agreement with more sophisticated numerical methods based on the exterior complex scaling approach, which solves a non-hermitian eigenvalue problem yielding complex energy eigenvalues, where the imaginary part describes the ionization rate. Results for excitons in hexagonal boron nitride and the $A-$exciton in transition metal dichalcogenides are given as a simple examples. The extension of the theory to include spin-orbit-split excitons in transition metal dichalcogenides is trivial.
