Electronic Structure of gated graphene and graphene ribbons

Details Electronic Structure of gated graphene and graphene ribbons Electronic Structure of gated graphene and graphene ribbons

2007-02-20

arxiv.org/abs/cond-mat/0702473v1

Phys. Rev. B 75, 205441 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 6 figures

Scientific paper

10.1103/PhysRevB.75.205441

We study the electronic structure of gated graphene sheets. We consider both infinite graphene and finite width ribbons. The effect of Coulomb interactions between the electrically injected carriers and the coupling to the external gate are computed self-consistently in the Hartree approximation. We compute the average density of extra carriers, $n_{2D}$, the number of occupied subbands and the density profiles as a function of the gate potential $V_g$. We discuss quantum corrections to the classical capacitance and we calculate the threshold $V_g$ above which semiconducting armchair ribbons conduct. We find that the ideal conductance of perfectly transmitting wide ribbons is proportional to the square root of the gate voltage.

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