Do Thi-Nga, Gumbs Godfrey, Shih Po-Hsin, Huang Danhong, Chiu Chih-Wei, Chen Chia-Yun, Lin Ming-Fa
Institute of Physics, Academia Sinica, Taipei, 11529, Taiwan.
Department of Physics, National Kaohsiung Normal University, Kaohsiung, Taiwan.
Sci Rep. 2019 Jan 24;9(1):624. doi: 10.1038/s41598-018-36547-1.
We conduct a comprehensive investigation of the effect of an applied electric field on the optical and magneto-optical absorption spectra for AB-bt (bottom-top) bilayer silicene. The generalized tight-binding model in conjunction with the Kubo formula is efficiently employed in the numerical calculations. The electronic and optical properties are greatly diversified by the buckled lattice structure, stacking configuration, intralayer and interlayer hopping interactions, spin-orbital couplings, as well as the electric and magnetic fields ([Formula: see text] [Formula: see text] [Formula: see text]). An electric field induces spin-split electronic states, a semiconductor-metal phase transitions and the Dirac cone formations in different valleys, leading to the special absorption features. The E-dependent low-lying Landau levels possess lower degeneracy, valley-created localization centers, peculiar distributions of quantum numbers, well-behaved and abnormal energy spectra in B-dependencies, and the absence of anti-crossing behavior. Consequently, the specific magneto-optical selection rules exist for diverse excitation categories under certain critical electric fields. The optical gaps are reduced as E is increased, but enhanced by B, in which the threshold channel might dramatically change in the former case. These characteristics are in sharp contrast with those for layered graphene.
我们对施加电场对AB-bt(底-顶)双层硅烯的光学和磁光吸收光谱的影响进行了全面研究。在数值计算中有效地采用了广义紧束缚模型结合久保公式。电子和光学性质因弯曲的晶格结构、堆叠构型、层内和层间跳跃相互作用、自旋-轨道耦合以及电场和磁场([公式:见正文][公式:见正文][公式:见正文])而有很大差异。电场会诱导自旋分裂的电子态、半导体-金属相变以及不同谷中的狄拉克锥形成,从而导致特殊的吸收特征。依赖于电场的低能朗道能级具有较低的简并度、谷产生的局域中心、量子数的特殊分布、依赖于磁场的良好和异常能谱,以及不存在反交叉行为。因此,在某些临界电场下,对于不同的激发类别存在特定的磁光选择规则。随着电场增加,光学带隙减小,但会因磁场而增大,其中在前一种情况下阈值通道可能会发生显著变化。这些特性与层状石墨烯的特性形成鲜明对比。