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

Abstract

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.

10 pages, 6 figures

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• Terahertz Circular Dichroism in Commensurate Twisted Bilayer Graphene
• Nonlinear and anisotropic polarization rotation in two dimensional Dirac materials
• Optical activity and transport in twisted bilayer graphene: the essence of spatial dispersion effects
• Third-order Optical Nonlinearity in Two-dimensional Transition Metal Dichalcogenides
• Optical Hall response of bilayer graphene: the manifestation of chiral hybridised states in broken mirror symmetry lattices
• Electron g-factor engineering for non-reciprocal spin photonics
• Kerr and Faraday rotations in topological flat and dispersive band structures