Linear Response and the Thomas-Fermi Approximation in Undoped Graphene

Details Linear Response and the Thomas-Fermi Approximation in Undoped Graphene Linear Response and the Thomas-Fermi Approximation in Undoped Graphene

2009-04-28

arxiv.org/abs/0904.4400v1

Physical Review B 80, 035406 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.80.035406

We analyze the range of validity of Thomas Fermi theory for describing charge density modulations induced by external potentials in neutral graphene. We compare exact results obtained from a tight-binding calculation with those of linear response theory and the Thomas Fermi approximation. For experimentally interesting ranges of size and density amplitudes (electron densities less than $\sim 10 ^{11} cm ^{-2}$, and spatial length scales below $\sim 20 nm$), linear response is significantly more accurate than Thomas Fermi theory.

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