Spectrum of pi electrons in graphene as a macromolecule.
We report the exact solution of the spectral problem for a graphene sheet framed by two armchair- and two zigzag-shaped boundaries. The solution is found for the pi electron Hamiltonian and gives, in particular, a closed analytic expression of edge-state energies in graphene. It is shown that the lower symmetry of graphene, in comparison with C6h of 2D graphite, has a profound effect on the graphene band structure. This and other results obtained have far-reaching implications for the understanding of graphene electronics. Some of them are briefly discussed.
Malysheva
Lyuba
L
Bogolyubov Institute for Theoretical Physics, 03680 Kyiv, Ukraine.
Onipko
Alexander
A