{ "id": "1712.05648", "version": "v1", "published": "2017-12-15T12:51:59.000Z", "updated": "2017-12-15T12:51:59.000Z", "title": "Impact of Many-Body Effects on Landau Levels in Graphene", "authors": [ "J. Sonntag", "S. Reichardt", "L. Wirtz", "B. Beschoten", "M. I. Katsnelson", "F. Libisch", "C. Stampfer" ], "comment": "6 pages, 3 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "We present magneto-Raman spectroscopy measurements on suspended graphene to investigate the charge carrier density-dependent electron-electron interaction in the presence of Landau levels. Utilizing gate-tunable magneto-phonon resonances, we extract the charge carrier density dependence of the Landau level transition energies and the associated effective Fermi velocity $v_\\mathrm{F}$. In contrast to the logarithmic divergence of $v_\\mathrm{F}$ at zero magnetic field, we find a piecewise linear scaling of $v_\\mathrm{F}$ as a function of charge carrier density, due to a magnetic field-induced suppression of the long-range Coulomb interaction. We quantitatively confirm our experimental findings by performing tight-binding calculations on the level of the Hartree-Fock approximation, which also allow us to estimate an excitonic binding energy of $\\approx$ 6 meV contained in the experimentally extracted Landau level transitions energies.", "revisions": [ { "version": "v1", "updated": "2017-12-15T12:51:59.000Z" } ], "analyses": { "keywords": [ "many-body effects", "charge carrier density-dependent electron-electron interaction", "extracted landau level transitions energies" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }