Fractional quantum Hall States of Dirac electrons in graphene.

  title={Fractional quantum Hall States of Dirac electrons in graphene.},
  author={Vadim M. Apalkov and Tapash Chakraborty},
  journal={Physical review letters},
  volume={97 12},
We have investigated the fractional quantum Hall states of Dirac electrons in a graphene layer in different Landau levels. The relativistic nature of the energy dispersion relation of electrons in graphene significantly modifies the interelectron interactions. This results in a specific dependence of the ground state energy and the energy gaps for electrons on the Landau-level index. For the valley-polarized states, i.e., at nu=1/m, m being an odd integer, the energy gaps have the largest… CONTINUE READING

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