Electron-electron interaction and electron-hole asymmetry in bilayer graphene (Supporting Materials)

Details Electron-electron interaction and electron-hole asymmetry in bilayer graphene (Supporting Materials) Electron-electron interaction and electron-hole asymmetry in bilayer graphene (Supporting Materials)

2011-03-10

arxiv.org/abs/1103.2061v2

Physics

Condensed Matter

Strongly Correlated Electrons

Supporting material for arXiv:1103.1663

Scientific paper

We report precision measurements of the effective mass m* in high-quality bilayer graphene using the temperature dependence of the Shubnikov-de Haas oscillations. In the density range of 0.7 x 10^12/cm^2 < n < 4.1 x 10^12 /cm^2, both the hole mass m*_h and the electron mass m*_e increase with increasing density, demonstrating the hyperbolic nature of the bands. The hole mass m*_h is approximately 20-30% larger than the electron mass m*_e. Tight-binding calculations provide a good description of the electron-hole asymmetry and yield an accurate measure of the inter-layer hopping parameter v_4 = 0.063. Both m*_h and m*_e are substantially suppressed compared to single-particle values, providing clear and unprecedented evidence for the strong renormalization effect of electron-electron interaction in the band structure of bilayer graphene.

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