Origin of the electromagnetic anisotropy in monolayer black phosphorus
Origin of the electromagnetic anisotropy in monolayer black phosphorus
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DOI：
10.1103/physrevb.100.205418
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发表时间：
2019-08
影响因子：
3.7
通讯作者：
Pengke Li
中科院分区：
文献类型：
--
作者：
Pengke Li
与经验观察相反，最低阶 $k\cdot\hat{p}$ 理论预测单层黑磷（“磷烯”）在带隙能量下完全不受锯齿形偏振光学激发的影响。使用对称性参数，我们在包括高阶校正的$k\cdot\hat{p}$形式下推导了$2\times2$哈密顿量，用于表明实验测量的锯齿形偏振带隙跃迁由带间光学矩阵元中的三阶$k\cdot\hat{p}$扰动主导，而自旋轨道相互作用的影响在该材料中可以忽略不计，与轨道抗磁对 $\textit{g}$ 因子的贡献微不足道。
Contrary to empirical observations, lowest-order $k\cdot\hat{p}$ theory predicts that monolayer black phosphorus ("phosphorene") is completely immune to zigzag-polarized optical excitation at the bandgap energy. Using symmetry arguments, we derive a $2\times2$ Hamiltonian under the $k\cdot\hat{p}$ formalism including higher-order corrections, which is used to show that the experimentally-measured band-gap transition with zigzag polarization is dominated by the third order $k\cdot\hat{p}$ perturbation in the interband optical matrix element, whereas the effects of spin-orbit interaction are negligible in this material, consistent with a trivial orbital diamagnetic contribution to the $\textit{g}$-factor.