Abstract
The characteristics of charge carriers in graphene with dopants having charge Z and deposited onto a SiC substrate are analyzed. The closed set of explicit equations determining the spectrum of charge carriers are obtained for the case of the Coulomb potential modified at small distances. The critical values Zcr of the dopant charge at which the energy level with the given quantum numbers crosses the valence band boundary are determined. At Z Zcr, the position and width of the quasistationary state are calculated. The problem concerning the screening of the impurity charge is also considered.
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