Effect of electron-electron interaction on the Fermi surface topology of doped graphene

Details Effect of electron-electron interaction on the Fermi surface topology of doped graphene Effect of electron-electron interaction on the Fermi surface topology of doped graphene

2007-10-16

arxiv.org/abs/0710.3034v2

Phys. Rev. B 77, 115410 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 6 figures

Scientific paper

10.1103/PhysRevB.77.115410

The electron-electron interactions effects on the shape of the Fermi surface of doped graphene are investigated. The actual discrete nature of the lattice is fully taken into account. A $\pi$-band tight-binding model, with nearest-neighbor hopping integrals, is considered. We calculate the self-energy corrections at zero temperature. Long and short range Coulomb interactions are included. The exchange self-energy corrections for graphene preserve the trigonal warping of the Fermi surface topology, although rounding the triangular shape. The band velocity is renormalized to higher value. Corrections induced by a local Coulomb interaction, calculated by second order perturbation theory, do deform anisotropically the Fermi surface shape. Results are compared to experimental observations and to other theoretical results.

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