Abstract

Materials with Dirac and Weyl fermions have highly unusual magnetooptical properties which can be utilized in compact optoelectronic devices and circuits. Moreover, magnetooptical spectroscopy can provide a cleaner way of studying topological properties of their electron states as compared to transport measurements. I will discuss several examples illustrating these points: an extremely high optical nonlinearity in Landau-quantized graphene and its device applications; optical anisotropy and optical Hall effect in magnetic Weyl semimetals; inverse Faraday effect in graphene and topological materials; and unique properties of magnetopolaritons in Dirac and Weyl semimetals in a strong magnetic field.

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