Hydrogen-Like Impurity States in Doped Bilayer Graphene: Results for Different Trial Functions

Abstract

The binding energy of the ground state of an impurity electron in doped bilayer graphene is studied by a variational approach in momentum space using different trial functions and taking into account the screening of the Coulomb potential. A monotonic increase in the binding energy of a hydrogen-like impurity with increase of the gap and the tight binding parameter γ₁ is obtained. The results obtained on the basis of different trial functions are compared.