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Bound states of charges on top of graphene in magnetic field

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journal contribution
posted on 27.11.2015, 14:55 by Sergey Slizovskiy
We show theoretically that in the external magnetic field like charges on top of graphene monolayer may be mutually attracted to form macro-molecules. For this to happen graphene needs to be in Quantum Hall plateau state with local chemical potential being between the Landau levels. Graphene electron(s) gets localized in the middle between charges and provides overscreening of Coulomb repulsion between the charges. The size of the resulting macro-molecules is of the order of the magnetic length ($\sim 10$ nm for magnetic field 10 T). The possible stable macro-molecules that unit charges can form on graphene in magnetic field are classified. The binding survives significant temperatures, exceeding 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 macro-molecule size may be tuned. This opens the perspective to nanoscopic manipulation of ions on graphene by using magnetic field and gating.

Funding

This work has been supported by EPSRC through Grants EP/l02669X/1 and EP/H049797/1. The support of the Russian Science Foundation Grant 14-22-00281 is acknowledged.

History

School

  • Science

Department

  • Physics

Citation

SLIZOVSKIY, S., 2015. Bound states of charges on top of graphene in magnetic field. Physical Review B, 92, 195426.

Publisher

© American Physical Society

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2015

Notes

This article was published in the journal, Physical Review B [© American Physical Society]. It is available at: http://dx.doi.org/10.1103/PhysRevB.92.195426.

ISSN

1098-0121

Language

en

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