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

Abstract

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 $n^{-\frac{1}{2}}$ 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.

4 pages, 3 figures

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