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1-loop quantum corrections are shown to induce large effects on therefraction index n inside a graphene strip in the presence of an externalmagnetic field B orthogonal to it. To this purpose, we use the tools of QuantumField Theory to calculate the photon propagator at 1-loop inside graphene inposition space, which leads to an effective vacuum polarization in a brane-liketheory of photons interacting with massless electrons at locations confinedinside the thin strip (its longitudinal spread is considered to be infinite).The effects factorize into quantum ones, controlled by the value of B and thatof the electromagnetic coupling alpha, and a "transmittance function" U inwhich the geometry of the sample and the resulting confinement of electronsplay the major roles. We consider photons inside the visible spectrum andmagnetic fields in the range 1-20 Teslas. At B=0, quantum effects depend veryweakly on alpha and n is essentially controlled by U; we recover, then, anopacity for visible light of the same order of magnitude pi * alpha_{vac} asmeasured experimentally.

From Quantum Field Theory to Nano-Optics : Refractive Properties of Graphene in a Medium-Strong Magnetic field