{ "id": "1001.3370", "version": "v2", "published": "2010-01-19T17:39:57.000Z", "updated": "2010-08-16T07:38:48.000Z", "title": "Spectral features due to inter-Landau-level transitions in the Raman spectrum of bilayer graphene", "authors": [ "M. Mucha-Kruczynski", "O. Kashuba", "V. I. Fal'ko" ], "comment": "7 pages, 3 figures, expanded version published in PRB", "journal": "Physical Review B 82, 045405 (2010)", "doi": "10.1103/PhysRevB.82.045405", "categories": [ "cond-mat.mes-hall" ], "abstract": "We investigate the contribution of the low-energy electronic excitations towards the Raman spectrum of bilayer graphene for the incoming photon energy Omega >> 1eV. Starting with the four-band tight-binding model, we derive an effective scattering amplitude that can be incorporated into the commonly used two-band approximation. Due to the influence of the high-energy bands, this effective scattering amplitude is different from the contact interaction amplitude obtained within the two-band model alone. We then calculate the spectral density of the inelastic light scattering accompanied by the excitation of electron-hole pairs in bilayer graphene. In the absence of a magnetic field, due to the parabolic dispersion of the low-energy bands in a bilayer crystal, this contribution is constant and in doped structures has a threshold at twice the Fermi energy. In an external magnetic field, the dominant Raman-active modes are the n_{-} to n_{+} inter-Landau-level transitions with crossed polarisation of in/out photons. We estimate the quantum efficiency of a single n_{-} to n_{+} transition in the magnetic field of 10T as I_{n_{-} to n_{+}}~10^{-12}.", "revisions": [ { "version": "v2", "updated": "2010-08-16T07:38:48.000Z" } ], "analyses": { "subjects": [ "73.22.Pr", "71.70.Di", "78.67.Wj", "81.05.ue" ], "keywords": [ "bilayer graphene", "inter-landau-level transitions", "raman spectrum", "spectral features", "effective scattering amplitude" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2010, "month": "Jul", "volume": 82, "number": 4, "pages": "045405" }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvB..82d5405M" } } }