Dirac fermions on graphite cones
V. A. Osipov, E. A. Kochetov1)
Joint Institute for Nuclear Research,
Bogoliubov Laboratory of Theoretical Physics, 141980 Dubna, Moscow reg., Russia
PACS: 73.20.Dx, 73.50.Jt, 73.61.Wp
Abstract
The electronic structure of graphitic cones is investigated within
the self-consistent field-theory model. The local and total
density of states near the apex is found for cones of different opening angles.
For extended electronic states, total density of states is found to vanish
at the Fermi level at any opening angles more than 60°.
In turn, for power-law localized states, normalized zero-energy
modes are shown to emerge.