Local spectra at impurity and neighboring sites in graphene: resonance manifestation
Y.V. Skrypnyk1 and V.M. Loktev1,2
1Bogolyubov Institute for Theoretical Physics National Academy of Sciences of Ukraine 14-b Metrolohichna Str., Kyiv 03143, Ukraine
2National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” 37 Peremohy Prosp., Kyiv 03056, Ukraine
Received December 12, 2019, published online January 27, 2020
The electronic spectrum of graphene with a single point impurity is considered. Local densities of states at the impurity site and its nearest neighbors are calculated analytically. Their evolution with increasing the impurity potential is examined. It is shown that in the domain of the well-defined impurity resonance the local density of states at the first-nearest neighbor of the impurity site is approximately a scaled-up copy of the local density of states at the impurity site. The corresponding factor is found to be proportional to the squared impurity potential.
Key words: graphen, impurity, local density of states.