论文标题
库仑耦合激发频谱的半经典方法
Semiclassical approach for excitonic spectrum of Coulomb coupling between two Dirac particles
论文作者
论文摘要
单层过渡金属二分法中激子的能量光谱的性能是使用多摩德模型研究的。在多频道模型中，我们在传导和价带边缘的狄拉克单粒子状态的产物基础中使用激子哈密顿量。变量分离后，我们使用有限差异方法将一阶径向方程的相应能量特征值系统解除，并自行求解二阶ode，因此我们确定离散激发频谱的能量特征值和相应的波功能。我们还开发了WKB方法来解决所得ode的半经典振荡中的相同光谱问题。我们比较了通过两种方法获得的WS2和WSE2的能量谱和相应的特征函数形式的结果。我们还将能源谱的结果与激子的其他理论作品以及可用的实验数据进行了比较。
The properties of energy spectrum of excitons in monolayer transition metal dichalcogenides are investigated using a multiband model. In the multiband model we use the excitonic Hamiltonian in the product base of the Dirac single-particle states at the conduction and valence band edges. Following the separation of variables we decouple the corresponding energy eigenvalue system of the first order ODE radial equations rigorously and solve the resulting the second order ODE self-consistently, using the finite difference method, thus we determine the energy eigenvalues of the discrete excitonic spectrum and the corresponding wave functions. We also developed WKB approach to solve the same spectral problem in semiclassical aproximation for the resulting ODE. We compare the results for the energy spectrum and the corresponding eigen-functions forms for WS2 and WSe2 obtained by means of both methods. We also compare our results for the energy spectrum with other theoretical works for excitons, and with available experimental data.
