Spectral features due to inter-Landau-level transitions in the Raman spectrum of bilayer graphene

Details Spectral features due to inter-Landau-level transitions in the Raman spectrum of bilayer graphene Spectral features due to inter-Landau-level transitions in the Raman spectrum of bilayer graphene

2010-01-19

arxiv.org/abs/1001.3370v2

Physical Review B 82, 045405 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 3 figures, expanded version published in PRB

Scientific paper

10.1103/PhysRevB.82.045405

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}.

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