Abstract The conductivity of graphene includes two terms, names of intra-band and inter-band. Graphene is frequency dispersive medium, and the expression of conductivity is quite complicated. Therefore, the dielectric constant model of graphene needs to be studied. This paper proposes to use the Drude-two-critical points (Drude-2CP) model to fit the dielectric constant of graphene with different chemical potentials μ c . And an accurate model suitable for the time-domain algorithm was obtained. The model is applied to the finite-difference time-domain method (FDTD). The reflectance and transmittance of single-layer graphene covering the gold substrate are calculated. The comparison with the analytical result shows that the Drude-2CP model is correct and feasible.

中文翻译：

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石墨烯光频附近的Drude-双临界点模型研究

摘要 石墨烯的导电性包括带内和带间两个术语。石墨烯是频散介质，电导率的表达相当复杂。因此，需要研究石墨烯的介电常数模型。本文提出使用德鲁德-二临界点（Drude-2CP）模型来拟合不同化学势μ c 的石墨烯的介电常数。并得到了适用于时域算法的精确模型。该模型应用于有限差分时域方法 (FDTD)。计算覆盖金基板的单层石墨烯的反射率和透射率。与解析结果对比表明Drude-2CP模型是正确可行的。