We theoretically study the band structure and photoelectric properties of few-layered black phosphorus based on recent experimental findings [G. W. Zhang et al. , Nat. Commun. 8 , 14071 (2017)]. According to the experimental findings, it was shown that absorption peaks associated with optical transitions have been observed. For theoretical study, we apply the low-energy k·p method to study the band structure of multi-layer black phosphorus. The optical conductivities σ sub x /sub( ω ) and σ sub y /sub( ω ) are calculated when the polarized radiation field is applied along the x (armchair)- and y (zigzag)-directions, respectively. Contributions to optical transition from different subbands are considered in the optical conductivity spectrum. Calculation results show that with an increase in the layer number of multi-layer black phosphorus, the band gap becomes small and the subbands evolve into quasi-continuous bands at last. The optical conductivities vary sensitively with changing thickness, doping level, and light polarization.
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机译：理论上，基于最近的实验发现，从理论上研究了几层黑色磷的带结构和光电性能[G. W.张等人。 ，nat。安排。 8,14071（2017）]。根据实验结果，显示了已经观察到与光学转变相关的吸收峰。对于理论研究，我们应用低能量K·P方法来研究多层黑色磷的带结构。当沿x（扶手椅） - 和y（Zigzag）施加偏振辐射场时，计算光学电导率σ<亚> x （ω）和σ y （ω）。方向分别。在光导频谱中考虑对来自不同子带的光学转换的贡献。计算结果表明，随着多层黑色磷的层数的增加，带隙变小，并且子带终于终止进入准连续频带。光学电导率随着厚度，掺杂水平和光极化而变化而变化敏感。
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