Low-Energy Approximation in the Theory
of Adsorption on Graphene

S. Yu. Davydov^{a, b,} * and O. V. Posrednik^b

^a Ioffe Physical-Technical Institute, Russian Academy of Sciences,
Politekhnicheskaya ul. 26, St. Petersburg, 194021 Russia

^b St. Petersburg Electrotechnical University “LETI,”
ul. Professora Popova 5, St. Petersburg, 197376 Russia

* e-mail: Sergei_Davydov@mail.ru

Received March 11, 2015

Abstract—The effect of the linear approximation of the electronic spectrum of single-layer graphene (low-
energy approximation) on the magnitude of charge transfer between an adatom and graphene has been investi-
gated. It has been shown that the implementation of this approximation for adsorption of alkali metals and halo-
gens leads to a change in the occupation numbers of local and band states as compared to the results obtained
in the model taking into account the entire spectrum. However, the total occupation numbers agree quite well.

DOI: 10.1134/S1063783415080053

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