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arXiv 1603.01992cond-mat.mes-hall
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层状纳米结构中Kerr和Faraday旋转的传输矩阵方法

Transfer matrix approach for the Kerr and Faraday rotation in layered nanostructures

Gábor Széchenyi, Máté Vigh, Andor Kormányos, József Cserti

摘要:

为了研究入射到由原子级薄导体和介质多层膜组成的多层膜系统上的光的偏振态的旋光性,我们提出了一种基于传输矩阵的一般方法。利用麦克斯韦方程组得到了原子级薄导电层的传输矩阵。我们推导出克尔(法拉第)旋转角和反射(透射)光的椭圆率作为入射角和光的偏振的函数的表达式。该方法通过计算置于介电多层膜顶部的量子反常霍尔态的双层石墨烯的克尔(法拉第)角来证明。在四带模型的框架下计算了双层石墨烯的光学电导率。

英文摘要:

To study the optical rotation of the polarization of light incident on multilayer systems consisting of atomically thin conductors and dielectric multilayers we present a general method based on transfer matrices. The transfer matrix of the atomically thin conducting layer is obtained using the Maxwell equations. We derive expressions for the Kerr (Faraday) rotation angle and for the ellipticity of the reflected (transmitted) light as a function of the incident angle and polarization of the light. The method is demonstrated by calculating the Kerr (Faraday) angle for bilayer graphene in the quantum anomalous Hall state placed on the top of dielectric multilayers. The optical conductivity of the bilayer graphene is calculated in the framework of a four-band model.

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