Electronic structure of negatively curved graphene
D. V. Kolesnikov1), V. A. Osipov
Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics,
141980 Dubna, Moscow region, Russia
PACS: 73.22.-f, 73.22.-Dj
Abstract
We study the electronic structure of graphene in the
presence of either sevenfolds or eightfolds by using a gauge
field-theory model. The graphene sheet with topological defects is
considered as a negative cone surface with infinite Gaussian
curvature at the center. The density of electronic states is
calculated for a single seven- and eightfold as well as for a pair
of sevenfolds with different morphology. The density of states at
the Fermi energy is found to be zero in all cases except two
sevenfolds with translational factor .