Bound states of charges on top of graphene in magnetic field

Sergey Slizovskiy

Published 2015-05-15Version 1

Charges put on top of graphene can move at elevated temperatures or if these charges are the intrinsic electron or hole states in the surface band of substrate such as SiC. We show that in the external magnetic field like charges on top of graphene may be mutually attracted to form macro-molecules. The size of the resulting macro-molecules is of the order of the magnetic length. 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. We classify all the possible stable macro-molecules that unit charges can form on graphene in magnetic field. We argue that the binding survives the high temperatures. This opens the perspective to nanoscopic manipulation of ions on graphene by using macroscopic tools.