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Bound states of charges on top of graphene in a magnetic field

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We show theoretically that in an external magnetic field, like charges on top of graphene monolayer may be mutually attracted to form macromolecules. For this to happen, graphene needs to be in a quantum Hall plateau state with the local chemical potential being between the Landau levels. One or several graphene electron(s) get localized in the middle between charges and provide overscreening of the Coulomb repulsion between the charges. The size of the resulting macromolecules is of the order of the magnetic length (10 nm for magnetic field 10 T). The possible stable macromolecules that unit charges can form on graphene in a magnetic field are classified. The binding survives significant temperatures, exceeding the mobility barriers for many ionically bond impurities. The influence of possible lattice-scale effects of valley mixing are discussed. Tuning the doping of graphene or the magnetic field, the binding of impurities can be turned on and off and the macromolecule size may be tuned. This opens the perspective to nanoscopic manipulation of ions on graphene by using magnetic field and gating.

  • Received 28 May 2015
  • Revised 22 September 2015

DOI:https://doi.org/10.1103/PhysRevB.92.195426

©2015 American Physical Society

Source: http://link.aps.org/doi/10.1103/PhysRevB.92.195426

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