Electronic structure of gated graphene and graphene ribbons

J. Fernández-Rossier, J. J. Palacios, and L. Brey
Phys. Rev. B 75, 205441 – Published 30 May 2007

Abstract

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 n2D, the number of occupied subbands, and the density profiles as a function of the gate potential Vg. We discuss quantum corrections to the classical capacitance and we calculate the threshold Vg 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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  • Received 22 February 2007

DOI:https://doi.org/10.1103/PhysRevB.75.205441

©2007 American Physical Society

Authors & Affiliations

J. Fernández-Rossier1, J. J. Palacios1, and L. Brey2

  • 1Departamento de Física Aplicada, Universidad de Alicante, Spain
  • 2Instituto de Ciencia de Materiales de Madrid (CSIC), Cantoblanco 28049, Spain

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Issue

Vol. 75, Iss. 20 — 15 May 2007

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