Nonlinear THz Optical Response Of 3D Topological Dirac/Weyl Semimetals

Tianning Zhang, Y. Ang, L. Ang
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Abstract

The optical nonlinearity of three-dimension (3D) topological Dirac/Weyl semimetals is studied by calculating its Kerr effect and high harmonic generation in THz regime [1]. Analytical expressions of third-order interband nonlinear optical conductivities are obtained based on a quantum mechanical formalism which couples 3D Dirac fermions with multiple photons. Our findings reveal that the massless Dirac fermions in 3D semi-metals retains strong optical nonlinearity in terahertz frequency regime, comparable to the case of the two-dimensional Dirac fermions in graphene. Since 3D topological Dirac/Weyl semimetals possess bulk structural advantage not found in the strictly two-dimensional graphene, it may offer greater design flexibility and ease-of-fabrication for photonic and optoelectronic device applications as a viable alternative to graphene nonlinear optics applications.
三维拓扑Dirac/Weyl半金属的非线性太赫兹光学响应
通过计算三维(3D)拓扑Dirac/Weyl半金属的克尔效应和太赫兹区高谐波的产生,研究了其光学非线性[1]。利用三维狄拉克费米子与多光子耦合的量子力学形式,得到了三阶带间非线性光学电导率的解析表达式。我们的研究结果表明,三维半金属中的无质量狄拉克费米子在太赫兹频率下保持了很强的光学非线性,与石墨烯中的二维狄拉克费米子的情况相当。由于三维拓扑Dirac/Weyl半金属具有严格二维石墨烯所没有的大块结构优势,它可以为光子和光电子器件应用提供更大的设计灵活性和易于制造性,作为石墨烯非线性光学应用的可行替代方案。
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