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

TL;DR

This paper demonstrates that enclosing graphene in an optical cavity induces significant Faraday rotations across infrared and visible spectra, and introduces an equation of motion method for calculating magneto-optical properties in solids.

Contribution

It presents a novel approach combining cavity-enclosed graphene with an EOM method for magneto-optical analysis, linking it to the Kubo formula.

Findings

Giant Faraday rotations are achievable in graphene within optical cavities.

Explicit Hall step expressions for Faraday rotation are provided.

The EOM method is shown to be equivalent to the Kubo formula for magneto-optical calculations.

Abstract

We show that by enclosing graphene in an optical cavity, giant Faraday rotations in the infrared regime are generated and measurable Faraday rotation angles in the visible range become possible. Explicit expressions for the Hall steps of the Faraday rotation angle are given for relevant regimes. In the context of this problem we develop an equation of motion (EOM) method for calculation of the magneto-optical properties of metals and semiconductors. It is shown that properly regularized EOM solutions are fully equivalent to the Kubo formula.