Theory of carrier density in multigated doped graphene sheets with quantum correction

  title={Theory of carrier density in multigated doped graphene sheets with quantum correction},
  author={Ming-Hao Liu},
  journal={Physical Review B},
The quantum capacitance model is applied to obtain an exact solution for the space-resolved carrier density in a multigated doped graphene sheet at zero temperature, with quantum correction arising from the finite electron capacity of the graphene itself taken into account. The exact solution is demonstrated to be equivalent to the self-consistent Poisson-Dirac iteration method by showing an illustrative example, where multiple gates with irregular shapes and a nonuniform dopant concentration… 

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