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We show that by enclosing graphene in an optical cavity, giant Faradayrotations in the infrared regime are generated and measurable Faraday rotationangles in the visible range become possible. Explicit expressions for the Hallsteps of the Faraday rotation angle are given for relevant regimes. In thecontext of this problem we develop an equation of motion (EOM) method forcalculation of the magneto-optical properties of metals and semiconductors. Itis shown that properly regularized EOM solutions are fully equivalent to theKubo formula.

Faraday effect in graphene enclosed in an optical cavity and the equation of motion method for the study of magneto-optical transport in solids