Density dependent exchange contribution to $\partialμ/\partial n$ in extrinsic graphene

Details Density dependent exchange contribution to $\partialμ/\partial n$ in extrinsic graphene Density dependent exchange contribution to $\partialμ/\partial n$ in extrinsic graphene

2007-03-20

arxiv.org/abs/cond-mat/0703499v2

Phys. Rev. Lett. 99, 226801 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.99.226801

We calculate $\partial\mu/\partial n$ in extrinsic graphene as a function of carrier density $n$ at zero temperature by obtaining the electronic self-energy within the Hartree-Fock approximation. The exchange-driven Dirac-point logarithmic singularity in the quasiparticle velocity of intrinsic graphene disappears in the extrinsic case. The calculated renormalized $\partial\mu/\partial n$ in extrinsic graphene has the same qualitative $n^{-\frac12}$ density dependence as the inverse bare density of states with a 20% enhancement from the corresponding bare value, a relatively weak effect compared to the corresponding parabolic-band case.

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