2014/10/24 by Olivier Coquand, O. Coquand, Coquand, Olivier +3
Computer Science · Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Near-Field Optical Microscopy #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.mes-hall #hep-ph
paper · pdf · doi:10.48550/arxiv.1410.6585
46 pages, 20 figures, LaTeX. arXiv admin note: substantial text overlap with arXiv:1407.1964
arxiv created 2014/10/24 · openalex publication_date 2014/10/24 · arxiv updated 2014/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
1-loop quantum corrections are shown to induce large effects on the refraction index n inside a graphene strip in the presence of an external magnetic field B orthogonal to it. To this purpose, we use the tools of Quantum Field Theory to calculate the photon propagator at 1-loop inside graphene in position space, which leads to an effective vacuum polarization in a brane-like theory of photons interacting with massless electrons at locations confined inside the thin strip (its longitudinal spread is considered to be infinite). The effects factorize into quantum ones, controlled by the value of B and that of the electromagnetic coupling α, and a "transmittance function" U in which the geometry of the sample and the resulting confinement of electrons play the major roles. We consider photons inside the visible spectrum and magnetic fields in the range 1-20 Teslas. At B=0, quantum effects depend very weakly on α and n is essentially controlled by U; we recover, then, an opacity for visible light of the same order of magnitude παvac as measured experimentally.