arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.08864cond-mat.mes-hall
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$θ$ -电动力学描述的核壳半导体-拓扑绝缘体量子点的光学子带间性质

Optical intersubband properties of a core-shell semiconductor-topological insulator quantum dot described by $θ$-Electrodynamics

Jorge David Castaño-Yepes, O. J. Franca, C. F. Ramirez-Gutierrez, J. C. del Valle

摘要:

分析了在均匀外磁场作用下,同心嵌入核壳结构GaAs量子点单电子系统中的球形拓扑绝缘体的光学性质.在$θ$ -电动力学的有效框架下计算了拓扑绝缘体的磁电响应,该框架允许通过格林函数方法解析计算感生电势和感生磁势。在有效质量近似下构造了GaAs的哈密顿量,并采用拉格朗日网格法数值求解了相应的薛定谔方程。我们计算的总吸收系数和折射率的变化给出的非线性迭代密度矩阵形式主义到三阶。我们的研究结果表明,磁电材料的存在下,导致新的偶极跃迁,否则不允许。此外,发现当入射光偏振方向平行于外部磁场时,与垂直偏振相比,光子吸收增强。此外,我们报告了一个明显的蓝移的光学功能时,$θ$参数的值增加。这些结果可用于磁电极化率的间接实验测量,磁电极化率与QED精细结构常数$α$成正比。

英文摘要:

The optical properties of a spherical topological insulator embedded concentrically in a single-electron system consisting of a core-shell GaAs quantum dot are analyzed, when the system is under a uniform external magnetic field. The topological insulator's magnetoelectric response is computed in the effective framework of $θ$-electrodynamics, which allows analytical calculations for the induced electric and magnetic potentials by Green's Function method. The GaAs Hamiltonian is constructed in the effective-mass approximation, and its corresponding Schrödinger equation is numerically solved through the Lagrange-mesh method. We compute the total absorption coefficients and refractive index changes given by the non-linear iterative density matrix formalism up to third order. Our results show that the presence of the magnetoelectric material causes new dipolar transitions otherwise not allowed. Also, an enhancement of the photon absorption is found when the incident light polarization is oriented parallel to the external magnetic field, in comparison with perpendicular polarization. Moreover, we report an appreciable blue shift in the optical functions when the values of the $θ$-parameter are increased. These results can be useful for indirect experimental measures of the magnetoelectric polarizability which is proportional to the QED fine-structure constant $α$.

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